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Finding the Third Proportional to 148,000.50 and 231,079.50

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Solution

The third proportional to 148,000.50 and 231,079.50 is: 360,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,000.50 : 231,079.50 = 231,079.50 : x
  2. Step 2: Convert to fraction form
    148,000.50/231,079.50 = 231,079.50/x
  3. Step 3: Cross multiply
    148,000.50x = 231,079.50 × 231,079.50
  4. Step 4: Simplify right side
    148,000.50x = 53,397,735,320.25
  5. Step 5: Solve for x
    x = 53,397,735,320.25/148,000.50
  6. Step 6: Final answer
    x = 360,794.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.