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Finding the Third Proportional to 181,241 and 426,464

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Solution

The third proportional to 181,241 and 426,464 is: 1,003,479.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,241 : 426,464 = 426,464 : x
  2. Step 2: Convert to fraction form
    181,241/426,464 = 426,464/x
  3. Step 3: Cross multiply
    181,241x = 426,464 × 426,464
  4. Step 4: Simplify right side
    181,241x = 181,871,543,296
  5. Step 5: Solve for x
    x = 181,871,543,296/181,241
  6. Step 6: Final answer
    x = 1,003,479.03

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.