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Finding the Third Proportional to 204,960 and 442,688

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Solution

The third proportional to 204,960 and 442,688 is: 956,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,960 : 442,688 = 442,688 : x
  2. Step 2: Convert to fraction form
    204,960/442,688 = 442,688/x
  3. Step 3: Cross multiply
    204,960x = 442,688 × 442,688
  4. Step 4: Simplify right side
    204,960x = 195,972,665,344
  5. Step 5: Solve for x
    x = 195,972,665,344/204,960
  6. Step 6: Final answer
    x = 956,150.79

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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.