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Finding the Third Proportional to 158,776 and 339,386

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Solution

The third proportional to 158,776 and 339,386 is: 725,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,776 : 339,386 = 339,386 : x
  2. Step 2: Convert to fraction form
    158,776/339,386 = 339,386/x
  3. Step 3: Cross multiply
    158,776x = 339,386 × 339,386
  4. Step 4: Simplify right side
    158,776x = 115,182,856,996
  5. Step 5: Solve for x
    x = 115,182,856,996/158,776
  6. Step 6: Final answer
    x = 725,442.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.