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Finding the Third Proportional to 159,838 and 266,359

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Solution

The third proportional to 159,838 and 266,359 is: 443,868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,838 : 266,359 = 266,359 : x
  2. Step 2: Convert to fraction form
    159,838/266,359 = 266,359/x
  3. Step 3: Cross multiply
    159,838x = 266,359 × 266,359
  4. Step 4: Simplify right side
    159,838x = 70,947,116,881
  5. Step 5: Solve for x
    x = 70,947,116,881/159,838
  6. Step 6: Final answer
    x = 443,868.90

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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.