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Finding the Third Proportional to 204,282 and 432,894.38

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Solution

The third proportional to 204,282 and 432,894.38 is: 917,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,282 : 432,894.38 = 432,894.38 : x
  2. Step 2: Convert to fraction form
    204,282/432,894.38 = 432,894.38/x
  3. Step 3: Cross multiply
    204,282x = 432,894.38 × 432,894.38
  4. Step 4: Simplify right side
    204,282x = 187,397,539,906.64
  5. Step 5: Solve for x
    x = 187,397,539,906.64/204,282
  6. Step 6: Final answer
    x = 917,347.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.