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Finding the Third Proportional to 119,392 and 259,520

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Solution

The third proportional to 119,392 and 259,520 is: 564,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,392 : 259,520 = 259,520 : x
  2. Step 2: Convert to fraction form
    119,392/259,520 = 259,520/x
  3. Step 3: Cross multiply
    119,392x = 259,520 × 259,520
  4. Step 4: Simplify right side
    119,392x = 67,350,630,400
  5. Step 5: Solve for x
    x = 67,350,630,400/119,392
  6. Step 6: Final answer
    x = 564,113.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.