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Finding the Third Proportional to 158,594 and 332,757

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Solution

The third proportional to 158,594 and 332,757 is: 698,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,594 : 332,757 = 332,757 : x
  2. Step 2: Convert to fraction form
    158,594/332,757 = 332,757/x
  3. Step 3: Cross multiply
    158,594x = 332,757 × 332,757
  4. Step 4: Simplify right side
    158,594x = 110,727,221,049
  5. Step 5: Solve for x
    x = 110,727,221,049/158,594
  6. Step 6: Final answer
    x = 698,180.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.