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Finding the Third Proportional to 158,932 and 240,017

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Solution

The third proportional to 158,932 and 240,017 is: 362,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,932 : 240,017 = 240,017 : x
  2. Step 2: Convert to fraction form
    158,932/240,017 = 240,017/x
  3. Step 3: Cross multiply
    158,932x = 240,017 × 240,017
  4. Step 4: Simplify right side
    158,932x = 57,608,160,289
  5. Step 5: Solve for x
    x = 57,608,160,289/158,932
  6. Step 6: Final answer
    x = 362,470.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.