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Finding the Third Proportional to 127,764.84 and 268,773.19

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Solution

The third proportional to 127,764.84 and 268,773.19 is: 565,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,764.84 : 268,773.19 = 268,773.19 : x
  2. Step 2: Convert to fraction form
    127,764.84/268,773.19 = 268,773.19/x
  3. Step 3: Cross multiply
    127,764.84x = 268,773.19 × 268,773.19
  4. Step 4: Simplify right side
    127,764.84x = 72,239,026,318.91
  5. Step 5: Solve for x
    x = 72,239,026,318.91/127,764.84
  6. Step 6: Final answer
    x = 565,406.13

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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.