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Finding the Third Proportional to 182,666 and 400,252

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Solution

The third proportional to 182,666 and 400,252 is: 877,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,666 : 400,252 = 400,252 : x
  2. Step 2: Convert to fraction form
    182,666/400,252 = 400,252/x
  3. Step 3: Cross multiply
    182,666x = 400,252 × 400,252
  4. Step 4: Simplify right side
    182,666x = 160,201,663,504
  5. Step 5: Solve for x
    x = 160,201,663,504/182,666
  6. Step 6: Final answer
    x = 877,019.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.