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Finding the Third Proportional to 130,407 and 278,037

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Solution

The third proportional to 130,407 and 278,037 is: 592,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,407 : 278,037 = 278,037 : x
  2. Step 2: Convert to fraction form
    130,407/278,037 = 278,037/x
  3. Step 3: Cross multiply
    130,407x = 278,037 × 278,037
  4. Step 4: Simplify right side
    130,407x = 77,304,573,369
  5. Step 5: Solve for x
    x = 77,304,573,369/130,407
  6. Step 6: Final answer
    x = 592,794.66

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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.