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Finding the Third Proportional to 161,442 and 354,963.38

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Solution

The third proportional to 161,442 and 354,963.38 is: 780,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,442 : 354,963.38 = 354,963.38 : x
  2. Step 2: Convert to fraction form
    161,442/354,963.38 = 354,963.38/x
  3. Step 3: Cross multiply
    161,442x = 354,963.38 × 354,963.38
  4. Step 4: Simplify right side
    161,442x = 125,998,997,591.39
  5. Step 5: Solve for x
    x = 125,998,997,591.39/161,442
  6. Step 6: Final answer
    x = 780,459.84

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