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Finding the Third Proportional to 181,395 and 382,959

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Solution

The third proportional to 181,395 and 382,959 is: 808,498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,395 : 382,959 = 382,959 : x
  2. Step 2: Convert to fraction form
    181,395/382,959 = 382,959/x
  3. Step 3: Cross multiply
    181,395x = 382,959 × 382,959
  4. Step 4: Simplify right side
    181,395x = 146,657,595,681
  5. Step 5: Solve for x
    x = 146,657,595,681/181,395
  6. Step 6: Final answer
    x = 808,498.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.