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Finding the Third Proportional to 181,070 and 281,958

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Solution

The third proportional to 181,070 and 281,958 is: 439,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,070 : 281,958 = 281,958 : x
  2. Step 2: Convert to fraction form
    181,070/281,958 = 281,958/x
  3. Step 3: Cross multiply
    181,070x = 281,958 × 281,958
  4. Step 4: Simplify right side
    181,070x = 79,500,313,764
  5. Step 5: Solve for x
    x = 79,500,313,764/181,070
  6. Step 6: Final answer
    x = 439,058.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.