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Finding the Third Proportional to 165,939 and 390,057.75

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Solution

The third proportional to 165,939 and 390,057.75 is: 916,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,939 : 390,057.75 = 390,057.75 : x
  2. Step 2: Convert to fraction form
    165,939/390,057.75 = 390,057.75/x
  3. Step 3: Cross multiply
    165,939x = 390,057.75 × 390,057.75
  4. Step 4: Simplify right side
    165,939x = 152,145,048,335.06
  5. Step 5: Solve for x
    x = 152,145,048,335.06/165,939
  6. Step 6: Final answer
    x = 916,873.36

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.