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Finding the Third Proportional to 158,134.50 and 340,447.50

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Solution

The third proportional to 158,134.50 and 340,447.50 is: 732,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,134.50 : 340,447.50 = 340,447.50 : x
  2. Step 2: Convert to fraction form
    158,134.50/340,447.50 = 340,447.50/x
  3. Step 3: Cross multiply
    158,134.50x = 340,447.50 × 340,447.50
  4. Step 4: Simplify right side
    158,134.50x = 115,904,500,256.25
  5. Step 5: Solve for x
    x = 115,904,500,256.25/158,134.50
  6. Step 6: Final answer
    x = 732,948.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.