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Finding the Third Proportional to 130,904 and 273,472

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Solution

The third proportional to 130,904 and 273,472 is: 571,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,904 : 273,472 = 273,472 : x
  2. Step 2: Convert to fraction form
    130,904/273,472 = 273,472/x
  3. Step 3: Cross multiply
    130,904x = 273,472 × 273,472
  4. Step 4: Simplify right side
    130,904x = 74,786,934,784
  5. Step 5: Solve for x
    x = 74,786,934,784/130,904
  6. Step 6: Final answer
    x = 571,311.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.