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Finding the Third Proportional to 102,718 and 224,342

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Solution

The third proportional to 102,718 and 224,342 is: 489,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,718 : 224,342 = 224,342 : x
  2. Step 2: Convert to fraction form
    102,718/224,342 = 224,342/x
  3. Step 3: Cross multiply
    102,718x = 224,342 × 224,342
  4. Step 4: Simplify right side
    102,718x = 50,329,332,964
  5. Step 5: Solve for x
    x = 50,329,332,964/102,718
  6. Step 6: Final answer
    x = 489,975.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.