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Finding the Third Proportional to 158,442.75 and 329,946.75

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Solution

The third proportional to 158,442.75 and 329,946.75 is: 687,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,442.75 : 329,946.75 = 329,946.75 : x
  2. Step 2: Convert to fraction form
    158,442.75/329,946.75 = 329,946.75/x
  3. Step 3: Cross multiply
    158,442.75x = 329,946.75 × 329,946.75
  4. Step 4: Simplify right side
    158,442.75x = 108,864,857,835.56
  5. Step 5: Solve for x
    x = 108,864,857,835.56/158,442.75
  6. Step 6: Final answer
    x = 687,092.71

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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.