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Finding the Third Proportional to 150,526.13 and 233,200.69

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Solution

The third proportional to 150,526.13 and 233,200.69 is: 361,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,526.13 : 233,200.69 = 233,200.69 : x
  2. Step 2: Convert to fraction form
    150,526.13/233,200.69 = 233,200.69/x
  3. Step 3: Cross multiply
    150,526.13x = 233,200.69 × 233,200.69
  4. Step 4: Simplify right side
    150,526.13x = 54,382,560,650.47
  5. Step 5: Solve for x
    x = 54,382,560,650.47/150,526.13
  6. Step 6: Final answer
    x = 361,283.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.