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Finding the Third Proportional to 130,044 and 283,902

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Solution

The third proportional to 130,044 and 283,902 is: 619,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,044 : 283,902 = 283,902 : x
  2. Step 2: Convert to fraction form
    130,044/283,902 = 283,902/x
  3. Step 3: Cross multiply
    130,044x = 283,902 × 283,902
  4. Step 4: Simplify right side
    130,044x = 80,600,345,604
  5. Step 5: Solve for x
    x = 80,600,345,604/130,044
  6. Step 6: Final answer
    x = 619,792.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.