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Finding the Third Proportional to 158,398.50 and 329,902.50

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Solution

The third proportional to 158,398.50 and 329,902.50 is: 687,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,398.50 : 329,902.50 = 329,902.50 : x
  2. Step 2: Convert to fraction form
    158,398.50/329,902.50 = 329,902.50/x
  3. Step 3: Cross multiply
    158,398.50x = 329,902.50 × 329,902.50
  4. Step 4: Simplify right side
    158,398.50x = 108,835,659,506.25
  5. Step 5: Solve for x
    x = 108,835,659,506.25/158,398.50
  6. Step 6: Final answer
    x = 687,100.32

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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.