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Finding the Third Proportional to 130,839 and 207,514.50

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Solution

The third proportional to 130,839 and 207,514.50 is: 329,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,839 : 207,514.50 = 207,514.50 : x
  2. Step 2: Convert to fraction form
    130,839/207,514.50 = 207,514.50/x
  3. Step 3: Cross multiply
    130,839x = 207,514.50 × 207,514.50
  4. Step 4: Simplify right side
    130,839x = 43,062,267,710.25
  5. Step 5: Solve for x
    x = 43,062,267,710.25/130,839
  6. Step 6: Final answer
    x = 329,124.10

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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.