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Finding the Third Proportional to 165,694 and 357,854

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Solution

The third proportional to 165,694 and 357,854 is: 772,867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,694 : 357,854 = 357,854 : x
  2. Step 2: Convert to fraction form
    165,694/357,854 = 357,854/x
  3. Step 3: Cross multiply
    165,694x = 357,854 × 357,854
  4. Step 4: Simplify right side
    165,694x = 128,059,485,316
  5. Step 5: Solve for x
    x = 128,059,485,316/165,694
  6. Step 6: Final answer
    x = 772,867.37

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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.