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Finding the Third Proportional to 152,387.06 and 241,497.56

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Solution

The third proportional to 152,387.06 and 241,497.56 is: 382,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,387.06 : 241,497.56 = 241,497.56 : x
  2. Step 2: Convert to fraction form
    152,387.06/241,497.56 = 241,497.56/x
  3. Step 3: Cross multiply
    152,387.06x = 241,497.56 × 241,497.56
  4. Step 4: Simplify right side
    152,387.06x = 58,321,072,693.44
  5. Step 5: Solve for x
    x = 58,321,072,693.44/152,387.06
  6. Step 6: Final answer
    x = 382,716.69

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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.