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Finding the Third Proportional to 152,867.25 and 324,232.88

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Solution

The third proportional to 152,867.25 and 324,232.88 is: 687,700.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,867.25 : 324,232.88 = 324,232.88 : x
  2. Step 2: Convert to fraction form
    152,867.25/324,232.88 = 324,232.88/x
  3. Step 3: Cross multiply
    152,867.25x = 324,232.88 × 324,232.88
  4. Step 4: Simplify right side
    152,867.25x = 105,126,957,230.77
  5. Step 5: Solve for x
    x = 105,126,957,230.77/152,867.25
  6. Step 6: Final answer
    x = 687,700.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.