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Finding the Third Proportional to 150,165 and 266,943

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Solution

The third proportional to 150,165 and 266,943 is: 474,535.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,165 : 266,943 = 266,943 : x
  2. Step 2: Convert to fraction form
    150,165/266,943 = 266,943/x
  3. Step 3: Cross multiply
    150,165x = 266,943 × 266,943
  4. Step 4: Simplify right side
    150,165x = 71,258,565,249
  5. Step 5: Solve for x
    x = 71,258,565,249/150,165
  6. Step 6: Final answer
    x = 474,535.11

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.