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Finding the Third Proportional to 127,766 and 268,776

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Solution

The third proportional to 127,766 and 268,776 is: 565,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,766 : 268,776 = 268,776 : x
  2. Step 2: Convert to fraction form
    127,766/268,776 = 268,776/x
  3. Step 3: Cross multiply
    127,766x = 268,776 × 268,776
  4. Step 4: Simplify right side
    127,766x = 72,240,538,176
  5. Step 5: Solve for x
    x = 72,240,538,176/127,766
  6. Step 6: Final answer
    x = 565,412.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.