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Finding the Third Proportional to 159,657 and 266,085

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Solution

The third proportional to 159,657 and 266,085 is: 443,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,657 : 266,085 = 266,085 : x
  2. Step 2: Convert to fraction form
    159,657/266,085 = 266,085/x
  3. Step 3: Cross multiply
    159,657x = 266,085 × 266,085
  4. Step 4: Simplify right side
    159,657x = 70,801,227,225
  5. Step 5: Solve for x
    x = 70,801,227,225/159,657
  6. Step 6: Final answer
    x = 443,458.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.