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Finding the Third Proportional to 120,049 and 257,594

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Solution

The third proportional to 120,049 and 257,594 is: 552,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,049 : 257,594 = 257,594 : x
  2. Step 2: Convert to fraction form
    120,049/257,594 = 257,594/x
  3. Step 3: Cross multiply
    120,049x = 257,594 × 257,594
  4. Step 4: Simplify right side
    120,049x = 66,354,668,836
  5. Step 5: Solve for x
    x = 66,354,668,836/120,049
  6. Step 6: Final answer
    x = 552,729.88

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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.