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Finding the Third Proportional to 161,883 and 241,164

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Solution

The third proportional to 161,883 and 241,164 is: 359,272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,883 : 241,164 = 241,164 : x
  2. Step 2: Convert to fraction form
    161,883/241,164 = 241,164/x
  3. Step 3: Cross multiply
    161,883x = 241,164 × 241,164
  4. Step 4: Simplify right side
    161,883x = 58,160,074,896
  5. Step 5: Solve for x
    x = 58,160,074,896/161,883
  6. Step 6: Final answer
    x = 359,272.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.