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Finding the Third Proportional to 165,558 and 357,577

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Solution

The third proportional to 165,558 and 357,577 is: 772,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,558 : 357,577 = 357,577 : x
  2. Step 2: Convert to fraction form
    165,558/357,577 = 357,577/x
  3. Step 3: Cross multiply
    165,558x = 357,577 × 357,577
  4. Step 4: Simplify right side
    165,558x = 127,861,310,929
  5. Step 5: Solve for x
    x = 127,861,310,929/165,558
  6. Step 6: Final answer
    x = 772,305.24

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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.