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Finding the Third Proportional to 159,696 and 266,143

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Solution

The third proportional to 159,696 and 266,143 is: 443,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,696 : 266,143 = 266,143 : x
  2. Step 2: Convert to fraction form
    159,696/266,143 = 266,143/x
  3. Step 3: Cross multiply
    159,696x = 266,143 × 266,143
  4. Step 4: Simplify right side
    159,696x = 70,832,096,449
  5. Step 5: Solve for x
    x = 70,832,096,449/159,696
  6. Step 6: Final answer
    x = 443,543.34

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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.