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Finding the Third Proportional to 150,582.38 and 200,750.06

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Solution

The third proportional to 150,582.38 and 200,750.06 is: 267,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,582.38 : 200,750.06 = 200,750.06 : x
  2. Step 2: Convert to fraction form
    150,582.38/200,750.06 = 200,750.06/x
  3. Step 3: Cross multiply
    150,582.38x = 200,750.06 × 200,750.06
  4. Step 4: Simplify right side
    150,582.38x = 40,300,587,593.75
  5. Step 5: Solve for x
    x = 40,300,587,593.75/150,582.38
  6. Step 6: Final answer
    x = 267,631.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.