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Finding the Third Proportional to 168,382 and 266,577

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Solution

The third proportional to 168,382 and 266,577 is: 422,036.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,382 : 266,577 = 266,577 : x
  2. Step 2: Convert to fraction form
    168,382/266,577 = 266,577/x
  3. Step 3: Cross multiply
    168,382x = 266,577 × 266,577
  4. Step 4: Simplify right side
    168,382x = 71,063,296,929
  5. Step 5: Solve for x
    x = 71,063,296,929/168,382
  6. Step 6: Final answer
    x = 422,036.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.