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Finding the Third Proportional to 127,332 and 268,602

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Solution

The third proportional to 127,332 and 268,602 is: 566,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,332 : 268,602 = 268,602 : x
  2. Step 2: Convert to fraction form
    127,332/268,602 = 268,602/x
  3. Step 3: Cross multiply
    127,332x = 268,602 × 268,602
  4. Step 4: Simplify right side
    127,332x = 72,147,034,404
  5. Step 5: Solve for x
    x = 72,147,034,404/127,332
  6. Step 6: Final answer
    x = 566,605.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.