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Finding the Third Proportional to 266,132 and 401,961

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Solution

The third proportional to 266,132 and 401,961 is: 607,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,132 : 401,961 = 401,961 : x
  2. Step 2: Convert to fraction form
    266,132/401,961 = 401,961/x
  3. Step 3: Cross multiply
    266,132x = 401,961 × 401,961
  4. Step 4: Simplify right side
    266,132x = 161,572,645,521
  5. Step 5: Solve for x
    x = 161,572,645,521/266,132
  6. Step 6: Final answer
    x = 607,114.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.