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Finding the Third Proportional to 212,166 and 457,540

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Solution

The third proportional to 212,166 and 457,540 is: 986,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,166 : 457,540 = 457,540 : x
  2. Step 2: Convert to fraction form
    212,166/457,540 = 457,540/x
  3. Step 3: Cross multiply
    212,166x = 457,540 × 457,540
  4. Step 4: Simplify right side
    212,166x = 209,342,851,600
  5. Step 5: Solve for x
    x = 209,342,851,600/212,166
  6. Step 6: Final answer
    x = 986,693.68

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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.