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Finding the Third Proportional to 130,496 and 278,073

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Solution

The third proportional to 130,496 and 278,073 is: 592,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,496 : 278,073 = 278,073 : x
  2. Step 2: Convert to fraction form
    130,496/278,073 = 278,073/x
  3. Step 3: Cross multiply
    130,496x = 278,073 × 278,073
  4. Step 4: Simplify right side
    130,496x = 77,324,593,329
  5. Step 5: Solve for x
    x = 77,324,593,329/130,496
  6. Step 6: Final answer
    x = 592,543.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.