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Finding the Third Proportional to 165,754 and 357,716

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Solution

The third proportional to 165,754 and 357,716 is: 771,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,754 : 357,716 = 357,716 : x
  2. Step 2: Convert to fraction form
    165,754/357,716 = 357,716/x
  3. Step 3: Cross multiply
    165,754x = 357,716 × 357,716
  4. Step 4: Simplify right side
    165,754x = 127,960,736,656
  5. Step 5: Solve for x
    x = 127,960,736,656/165,754
  6. Step 6: Final answer
    x = 771,991.85

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Why These Related Problems?

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