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Finding the Third Proportional to 199,214 and 431,614

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Solution

The third proportional to 199,214 and 431,614 is: 935,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,214 : 431,614 = 431,614 : x
  2. Step 2: Convert to fraction form
    199,214/431,614 = 431,614/x
  3. Step 3: Cross multiply
    199,214x = 431,614 × 431,614
  4. Step 4: Simplify right side
    199,214x = 186,290,644,996
  5. Step 5: Solve for x
    x = 186,290,644,996/199,214
  6. Step 6: Final answer
    x = 935,128.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.