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Finding the Third Proportional to 182,210 and 400,294

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Solution

The third proportional to 182,210 and 400,294 is: 879,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,210 : 400,294 = 400,294 : x
  2. Step 2: Convert to fraction form
    182,210/400,294 = 400,294/x
  3. Step 3: Cross multiply
    182,210x = 400,294 × 400,294
  4. Step 4: Simplify right side
    182,210x = 160,235,286,436
  5. Step 5: Solve for x
    x = 160,235,286,436/182,210
  6. Step 6: Final answer
    x = 879,398.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.