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Finding the Third Proportional to 103,303.50 and 226,263

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Solution

The third proportional to 103,303.50 and 226,263 is: 495,578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,303.50 : 226,263 = 226,263 : x
  2. Step 2: Convert to fraction form
    103,303.50/226,263 = 226,263/x
  3. Step 3: Cross multiply
    103,303.50x = 226,263 × 226,263
  4. Step 4: Simplify right side
    103,303.50x = 51,194,945,169
  5. Step 5: Solve for x
    x = 51,194,945,169/103,303.50
  6. Step 6: Final answer
    x = 495,578.03

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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.