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Finding the Third Proportional to 181,143 and 426,222

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Solution

The third proportional to 181,143 and 426,222 is: 1,002,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,143 : 426,222 = 426,222 : x
  2. Step 2: Convert to fraction form
    181,143/426,222 = 426,222/x
  3. Step 3: Cross multiply
    181,143x = 426,222 × 426,222
  4. Step 4: Simplify right side
    181,143x = 181,665,193,284
  5. Step 5: Solve for x
    x = 181,665,193,284/181,143
  6. Step 6: Final answer
    x = 1,002,882.77

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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.