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Finding the Third Proportional to 181,370 and 285,967

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Solution

The third proportional to 181,370 and 285,967 is: 450,885.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,370 : 285,967 = 285,967 : x
  2. Step 2: Convert to fraction form
    181,370/285,967 = 285,967/x
  3. Step 3: Cross multiply
    181,370x = 285,967 × 285,967
  4. Step 4: Simplify right side
    181,370x = 81,777,125,089
  5. Step 5: Solve for x
    x = 81,777,125,089/181,370
  6. Step 6: Final answer
    x = 450,885.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.