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Finding the Third Proportional to 182,151 and 240,933

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Solution

The third proportional to 182,151 and 240,933 is: 318,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,151 : 240,933 = 240,933 : x
  2. Step 2: Convert to fraction form
    182,151/240,933 = 240,933/x
  3. Step 3: Cross multiply
    182,151x = 240,933 × 240,933
  4. Step 4: Simplify right side
    182,151x = 58,048,710,489
  5. Step 5: Solve for x
    x = 58,048,710,489/182,151
  6. Step 6: Final answer
    x = 318,684.56

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.