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Finding the Third Proportional to 161,395 and 341,987

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Solution

The third proportional to 161,395 and 341,987 is: 724,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,395 : 341,987 = 341,987 : x
  2. Step 2: Convert to fraction form
    161,395/341,987 = 341,987/x
  3. Step 3: Cross multiply
    161,395x = 341,987 × 341,987
  4. Step 4: Simplify right side
    161,395x = 116,955,108,169
  5. Step 5: Solve for x
    x = 116,955,108,169/161,395
  6. Step 6: Final answer
    x = 724,651.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.