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Finding the Third Proportional to 158,712.75 and 245,909.25

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Solution

The third proportional to 158,712.75 and 245,909.25 is: 381,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,712.75 : 245,909.25 = 245,909.25 : x
  2. Step 2: Convert to fraction form
    158,712.75/245,909.25 = 245,909.25/x
  3. Step 3: Cross multiply
    158,712.75x = 245,909.25 × 245,909.25
  4. Step 4: Simplify right side
    158,712.75x = 60,471,359,235.56
  5. Step 5: Solve for x
    x = 60,471,359,235.56/158,712.75
  6. Step 6: Final answer
    x = 381,011.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.