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Finding the Third Proportional to 150,032.25 and 232,156.13

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Solution

The third proportional to 150,032.25 and 232,156.13 is: 359,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,032.25 : 232,156.13 = 232,156.13 : x
  2. Step 2: Convert to fraction form
    150,032.25/232,156.13 = 232,156.13/x
  3. Step 3: Cross multiply
    150,032.25x = 232,156.13 × 232,156.13
  4. Step 4: Simplify right side
    150,032.25x = 53,896,466,375.02
  5. Step 5: Solve for x
    x = 53,896,466,375.02/150,032.25
  6. Step 6: Final answer
    x = 359,232.54

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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.