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Finding the Third Proportional to 161,151.75 and 354,471.75

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Solution

The third proportional to 161,151.75 and 354,471.75 is: 779,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,151.75 : 354,471.75 = 354,471.75 : x
  2. Step 2: Convert to fraction form
    161,151.75/354,471.75 = 354,471.75/x
  3. Step 3: Cross multiply
    161,151.75x = 354,471.75 × 354,471.75
  4. Step 4: Simplify right side
    161,151.75x = 125,650,221,548.06
  5. Step 5: Solve for x
    x = 125,650,221,548.06/161,151.75
  6. Step 6: Final answer
    x = 779,701.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.