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Finding the Third Proportional to 205,374 and 441,102

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Solution

The third proportional to 205,374 and 441,102 is: 947,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,374 : 441,102 = 441,102 : x
  2. Step 2: Convert to fraction form
    205,374/441,102 = 441,102/x
  3. Step 3: Cross multiply
    205,374x = 441,102 × 441,102
  4. Step 4: Simplify right side
    205,374x = 194,570,974,404
  5. Step 5: Solve for x
    x = 194,570,974,404/205,374
  6. Step 6: Final answer
    x = 947,398.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.