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Finding the Third Proportional to 136,531.50 and 199,600.50

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Solution

The third proportional to 136,531.50 and 199,600.50 is: 291,803.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,531.50 : 199,600.50 = 199,600.50 : x
  2. Step 2: Convert to fraction form
    136,531.50/199,600.50 = 199,600.50/x
  3. Step 3: Cross multiply
    136,531.50x = 199,600.50 × 199,600.50
  4. Step 4: Simplify right side
    136,531.50x = 39,840,359,600.25
  5. Step 5: Solve for x
    x = 39,840,359,600.25/136,531.50
  6. Step 6: Final answer
    x = 291,803.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.