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Finding the Third Proportional to 168,382 and 266,578

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Solution

The third proportional to 168,382 and 266,578 is: 422,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,382 : 266,578 = 266,578 : x
  2. Step 2: Convert to fraction form
    168,382/266,578 = 266,578/x
  3. Step 3: Cross multiply
    168,382x = 266,578 × 266,578
  4. Step 4: Simplify right side
    168,382x = 71,063,830,084
  5. Step 5: Solve for x
    x = 71,063,830,084/168,382
  6. Step 6: Final answer
    x = 422,039.35

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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.