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Finding the Third Proportional to 165,768 and 357,744

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Solution

The third proportional to 165,768 and 357,744 is: 772,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,768 : 357,744 = 357,744 : x
  2. Step 2: Convert to fraction form
    165,768/357,744 = 357,744/x
  3. Step 3: Cross multiply
    165,768x = 357,744 × 357,744
  4. Step 4: Simplify right side
    165,768x = 127,980,769,536
  5. Step 5: Solve for x
    x = 127,980,769,536/165,768
  6. Step 6: Final answer
    x = 772,047.50

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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.