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Finding the Third Proportional to 204,048 and 292,210

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Solution

The third proportional to 204,048 and 292,210 is: 418,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,048 : 292,210 = 292,210 : x
  2. Step 2: Convert to fraction form
    204,048/292,210 = 292,210/x
  3. Step 3: Cross multiply
    204,048x = 292,210 × 292,210
  4. Step 4: Simplify right side
    204,048x = 85,386,684,100
  5. Step 5: Solve for x
    x = 85,386,684,100/204,048
  6. Step 6: Final answer
    x = 418,463.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.