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Finding the Third Proportional to 158,232.75 and 341,201.25

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Solution

The third proportional to 158,232.75 and 341,201.25 is: 735,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,232.75 : 341,201.25 = 341,201.25 : x
  2. Step 2: Convert to fraction form
    158,232.75/341,201.25 = 341,201.25/x
  3. Step 3: Cross multiply
    158,232.75x = 341,201.25 × 341,201.25
  4. Step 4: Simplify right side
    158,232.75x = 116,418,293,001.56
  5. Step 5: Solve for x
    x = 116,418,293,001.56/158,232.75
  6. Step 6: Final answer
    x = 735,740.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.