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Finding the Third Proportional to 147,151 and 233,165

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Solution

The third proportional to 147,151 and 233,165 is: 369,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,151 : 233,165 = 233,165 : x
  2. Step 2: Convert to fraction form
    147,151/233,165 = 233,165/x
  3. Step 3: Cross multiply
    147,151x = 233,165 × 233,165
  4. Step 4: Simplify right side
    147,151x = 54,365,917,225
  5. Step 5: Solve for x
    x = 54,365,917,225/147,151
  6. Step 6: Final answer
    x = 369,456.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.