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Finding the Third Proportional to 102,403 and 224,488

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Solution

The third proportional to 102,403 and 224,488 is: 492,122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,403 : 224,488 = 224,488 : x
  2. Step 2: Convert to fraction form
    102,403/224,488 = 224,488/x
  3. Step 3: Cross multiply
    102,403x = 224,488 × 224,488
  4. Step 4: Simplify right side
    102,403x = 50,394,862,144
  5. Step 5: Solve for x
    x = 50,394,862,144/102,403
  6. Step 6: Final answer
    x = 492,122.91

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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.