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Finding the Third Proportional to 103,284 and 226,224

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Solution

The third proportional to 103,284 and 226,224 is: 495,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,284 : 226,224 = 226,224 : x
  2. Step 2: Convert to fraction form
    103,284/226,224 = 226,224/x
  3. Step 3: Cross multiply
    103,284x = 226,224 × 226,224
  4. Step 4: Simplify right side
    103,284x = 51,177,298,176
  5. Step 5: Solve for x
    x = 51,177,298,176/103,284
  6. Step 6: Final answer
    x = 495,500.74

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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.