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Finding the Third Proportional to 147,967.50 and 231,867.75

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Solution

The third proportional to 147,967.50 and 231,867.75 is: 363,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,967.50 : 231,867.75 = 231,867.75 : x
  2. Step 2: Convert to fraction form
    147,967.50/231,867.75 = 231,867.75/x
  3. Step 3: Cross multiply
    147,967.50x = 231,867.75 × 231,867.75
  4. Step 4: Simplify right side
    147,967.50x = 53,762,653,490.06
  5. Step 5: Solve for x
    x = 53,762,653,490.06/147,967.50
  6. Step 6: Final answer
    x = 363,340.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.