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Finding the Third Proportional to 158,982.75 and 347,854.50

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Solution

The third proportional to 158,982.75 and 347,854.50 is: 761,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,982.75 : 347,854.50 = 347,854.50 : x
  2. Step 2: Convert to fraction form
    158,982.75/347,854.50 = 347,854.50/x
  3. Step 3: Cross multiply
    158,982.75x = 347,854.50 × 347,854.50
  4. Step 4: Simplify right side
    158,982.75x = 121,002,753,170.25
  5. Step 5: Solve for x
    x = 121,002,753,170.25/158,982.75
  6. Step 6: Final answer
    x = 761,106.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.