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Finding the Third Proportional to 160,724.25 and 242,544.38

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Solution

The third proportional to 160,724.25 and 242,544.38 is: 366,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,724.25 : 242,544.38 = 242,544.38 : x
  2. Step 2: Convert to fraction form
    160,724.25/242,544.38 = 242,544.38/x
  3. Step 3: Cross multiply
    160,724.25x = 242,544.38 × 242,544.38
  4. Step 4: Simplify right side
    160,724.25x = 58,827,773,844.14
  5. Step 5: Solve for x
    x = 58,827,773,844.14/160,724.25
  6. Step 6: Final answer
    x = 366,016.79

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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.