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Finding the Third Proportional to 148,533.75 and 232,642.13

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Solution

The third proportional to 148,533.75 and 232,642.13 is: 364,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,533.75 : 232,642.13 = 232,642.13 : x
  2. Step 2: Convert to fraction form
    148,533.75/232,642.13 = 232,642.13/x
  3. Step 3: Cross multiply
    148,533.75x = 232,642.13 × 232,642.13
  4. Step 4: Simplify right side
    148,533.75x = 54,122,358,324.52
  5. Step 5: Solve for x
    x = 54,122,358,324.52/148,533.75
  6. Step 6: Final answer
    x = 364,377.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.