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Finding the Third Proportional to 268,182 and 558,612

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Solution

The third proportional to 268,182 and 558,612 is: 1,163,565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,182 : 558,612 = 558,612 : x
  2. Step 2: Convert to fraction form
    268,182/558,612 = 558,612/x
  3. Step 3: Cross multiply
    268,182x = 558,612 × 558,612
  4. Step 4: Simplify right side
    268,182x = 312,047,366,544
  5. Step 5: Solve for x
    x = 312,047,366,544/268,182
  6. Step 6: Final answer
    x = 1,163,565.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.