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Finding the Third Proportional to 120,942 and 261,348

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Solution

The third proportional to 120,942 and 261,348 is: 564,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,942 : 261,348 = 261,348 : x
  2. Step 2: Convert to fraction form
    120,942/261,348 = 261,348/x
  3. Step 3: Cross multiply
    120,942x = 261,348 × 261,348
  4. Step 4: Simplify right side
    120,942x = 68,302,777,104
  5. Step 5: Solve for x
    x = 68,302,777,104/120,942
  6. Step 6: Final answer
    x = 564,756.47

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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.