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Finding the Third Proportional to 131,385.50 and 200,359

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Solution

The third proportional to 131,385.50 and 200,359 is: 305,541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,385.50 : 200,359 = 200,359 : x
  2. Step 2: Convert to fraction form
    131,385.50/200,359 = 200,359/x
  3. Step 3: Cross multiply
    131,385.50x = 200,359 × 200,359
  4. Step 4: Simplify right side
    131,385.50x = 40,143,728,881
  5. Step 5: Solve for x
    x = 40,143,728,881/131,385.50
  6. Step 6: Final answer
    x = 305,541.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.