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Finding the Third Proportional to 150,042.38 and 232,252.31

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Solution

The third proportional to 150,042.38 and 232,252.31 is: 359,506.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,042.38 : 232,252.31 = 232,252.31 : x
  2. Step 2: Convert to fraction form
    150,042.38/232,252.31 = 232,252.31/x
  3. Step 3: Cross multiply
    150,042.38x = 232,252.31 × 232,252.31
  4. Step 4: Simplify right side
    150,042.38x = 53,941,136,661.60
  5. Step 5: Solve for x
    x = 53,941,136,661.60/150,042.38
  6. Step 6: Final answer
    x = 359,506.02

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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.