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Finding the Third Proportional to 120,515 and 262,478

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Solution

The third proportional to 120,515 and 262,478 is: 571,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,515 : 262,478 = 262,478 : x
  2. Step 2: Convert to fraction form
    120,515/262,478 = 262,478/x
  3. Step 3: Cross multiply
    120,515x = 262,478 × 262,478
  4. Step 4: Simplify right side
    120,515x = 68,894,700,484
  5. Step 5: Solve for x
    x = 68,894,700,484/120,515
  6. Step 6: Final answer
    x = 571,669.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.