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Finding the Third Proportional to 199,637 and 293,614

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Solution

The third proportional to 199,637 and 293,614 is: 431,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,637 : 293,614 = 293,614 : x
  2. Step 2: Convert to fraction form
    199,637/293,614 = 293,614/x
  3. Step 3: Cross multiply
    199,637x = 293,614 × 293,614
  4. Step 4: Simplify right side
    199,637x = 86,209,180,996
  5. Step 5: Solve for x
    x = 86,209,180,996/199,637
  6. Step 6: Final answer
    x = 431,829.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.