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Finding the Third Proportional to 152,101.50 and 227,921.06

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Solution

The third proportional to 152,101.50 and 227,921.06 is: 341,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,101.50 : 227,921.06 = 227,921.06 : x
  2. Step 2: Convert to fraction form
    152,101.50/227,921.06 = 227,921.06/x
  3. Step 3: Cross multiply
    152,101.50x = 227,921.06 × 227,921.06
  4. Step 4: Simplify right side
    152,101.50x = 51,948,010,731.13
  5. Step 5: Solve for x
    x = 51,948,010,731.13/152,101.50
  6. Step 6: Final answer
    x = 341,535.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.