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Finding the Third Proportional to 103,222.50 and 226,114.50

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Solution

The third proportional to 103,222.50 and 226,114.50 is: 495,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,222.50 : 226,114.50 = 226,114.50 : x
  2. Step 2: Convert to fraction form
    103,222.50/226,114.50 = 226,114.50/x
  3. Step 3: Cross multiply
    103,222.50x = 226,114.50 × 226,114.50
  4. Step 4: Simplify right side
    103,222.50x = 51,127,767,110.25
  5. Step 5: Solve for x
    x = 51,127,767,110.25/103,222.50
  6. Step 6: Final answer
    x = 495,316.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.