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Finding the Third Proportional to 158,123.25 and 344,310.75

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Solution

The third proportional to 158,123.25 and 344,310.75 is: 749,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,123.25 : 344,310.75 = 344,310.75 : x
  2. Step 2: Convert to fraction form
    158,123.25/344,310.75 = 344,310.75/x
  3. Step 3: Cross multiply
    158,123.25x = 344,310.75 × 344,310.75
  4. Step 4: Simplify right side
    158,123.25x = 118,549,892,565.56
  5. Step 5: Solve for x
    x = 118,549,892,565.56/158,123.25
  6. Step 6: Final answer
    x = 749,730.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.