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Finding the Third Proportional to 158,418 and 329,895

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Solution

The third proportional to 158,418 and 329,895 is: 686,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,418 : 329,895 = 329,895 : x
  2. Step 2: Convert to fraction form
    158,418/329,895 = 329,895/x
  3. Step 3: Cross multiply
    158,418x = 329,895 × 329,895
  4. Step 4: Simplify right side
    158,418x = 108,830,711,025
  5. Step 5: Solve for x
    x = 108,830,711,025/158,418
  6. Step 6: Final answer
    x = 686,984.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.