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Finding the Third Proportional to 159,684 and 266,124

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Solution

The third proportional to 159,684 and 266,124 is: 443,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,684 : 266,124 = 266,124 : x
  2. Step 2: Convert to fraction form
    159,684/266,124 = 266,124/x
  3. Step 3: Cross multiply
    159,684x = 266,124 × 266,124
  4. Step 4: Simplify right side
    159,684x = 70,821,983,376
  5. Step 5: Solve for x
    x = 70,821,983,376/159,684
  6. Step 6: Final answer
    x = 443,513.33

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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.