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Finding the Third Proportional to 266,950 and 359,565

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Solution

The third proportional to 266,950 and 359,565 is: 484,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,950 : 359,565 = 359,565 : x
  2. Step 2: Convert to fraction form
    266,950/359,565 = 359,565/x
  3. Step 3: Cross multiply
    266,950x = 359,565 × 359,565
  4. Step 4: Simplify right side
    266,950x = 129,286,989,225
  5. Step 5: Solve for x
    x = 129,286,989,225/266,950
  6. Step 6: Final answer
    x = 484,311.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.