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Finding the Third Proportional to 165,996 and 360,140

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Solution

The third proportional to 165,996 and 360,140 is: 781,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,996 : 360,140 = 360,140 : x
  2. Step 2: Convert to fraction form
    165,996/360,140 = 360,140/x
  3. Step 3: Cross multiply
    165,996x = 360,140 × 360,140
  4. Step 4: Simplify right side
    165,996x = 129,700,819,600
  5. Step 5: Solve for x
    x = 129,700,819,600/165,996
  6. Step 6: Final answer
    x = 781,349.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.