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Finding the Third Proportional to 103,487 and 227,294

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Solution

The third proportional to 103,487 and 227,294 is: 499,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,487 : 227,294 = 227,294 : x
  2. Step 2: Convert to fraction form
    103,487/227,294 = 227,294/x
  3. Step 3: Cross multiply
    103,487x = 227,294 × 227,294
  4. Step 4: Simplify right side
    103,487x = 51,662,562,436
  5. Step 5: Solve for x
    x = 51,662,562,436/103,487
  6. Step 6: Final answer
    x = 499,217.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.