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Finding the Third Proportional to 151,912.13 and 240,235.88

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Solution

The third proportional to 151,912.13 and 240,235.88 is: 379,912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,912.13 : 240,235.88 = 240,235.88 : x
  2. Step 2: Convert to fraction form
    151,912.13/240,235.88 = 240,235.88/x
  3. Step 3: Cross multiply
    151,912.13x = 240,235.88 × 240,235.88
  4. Step 4: Simplify right side
    151,912.13x = 57,713,275,637.02
  5. Step 5: Solve for x
    x = 57,713,275,637.02/151,912.13
  6. Step 6: Final answer
    x = 379,912.24

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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.