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Finding the Third Proportional to 130,842 and 207,518

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Solution

The third proportional to 130,842 and 207,518 is: 329,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,842 : 207,518 = 207,518 : x
  2. Step 2: Convert to fraction form
    130,842/207,518 = 207,518/x
  3. Step 3: Cross multiply
    130,842x = 207,518 × 207,518
  4. Step 4: Simplify right side
    130,842x = 43,063,720,324
  5. Step 5: Solve for x
    x = 43,063,720,324/130,842
  6. Step 6: Final answer
    x = 329,127.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.