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Finding the Third Proportional to 168,288 and 363,331.50

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Solution

The third proportional to 168,288 and 363,331.50 is: 784,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,288 : 363,331.50 = 363,331.50 : x
  2. Step 2: Convert to fraction form
    168,288/363,331.50 = 363,331.50/x
  3. Step 3: Cross multiply
    168,288x = 363,331.50 × 363,331.50
  4. Step 4: Simplify right side
    168,288x = 132,009,778,892.25
  5. Step 5: Solve for x
    x = 132,009,778,892.25/168,288
  6. Step 6: Final answer
    x = 784,427.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.