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Finding the Third Proportional to 127,488 and 265,472

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Solution

The third proportional to 127,488 and 265,472 is: 552,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,488 : 265,472 = 265,472 : x
  2. Step 2: Convert to fraction form
    127,488/265,472 = 265,472/x
  3. Step 3: Cross multiply
    127,488x = 265,472 × 265,472
  4. Step 4: Simplify right side
    127,488x = 70,475,382,784
  5. Step 5: Solve for x
    x = 70,475,382,784/127,488
  6. Step 6: Final answer
    x = 552,800.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.