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Finding the Third Proportional to 214,766 and 457,180

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Solution

The third proportional to 214,766 and 457,180 is: 973,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,766 : 457,180 = 457,180 : x
  2. Step 2: Convert to fraction form
    214,766/457,180 = 457,180/x
  3. Step 3: Cross multiply
    214,766x = 457,180 × 457,180
  4. Step 4: Simplify right side
    214,766x = 209,013,552,400
  5. Step 5: Solve for x
    x = 209,013,552,400/214,766
  6. Step 6: Final answer
    x = 973,215.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.