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Finding the Third Proportional to 134,327 and 199,614

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Solution

The third proportional to 134,327 and 199,614 is: 296,632.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,327 : 199,614 = 199,614 : x
  2. Step 2: Convert to fraction form
    134,327/199,614 = 199,614/x
  3. Step 3: Cross multiply
    134,327x = 199,614 × 199,614
  4. Step 4: Simplify right side
    134,327x = 39,845,748,996
  5. Step 5: Solve for x
    x = 39,845,748,996/134,327
  6. Step 6: Final answer
    x = 296,632.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.