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Finding the Third Proportional to 158,399 and 344,683

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Solution

The third proportional to 158,399 and 344,683 is: 750,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,399 : 344,683 = 344,683 : x
  2. Step 2: Convert to fraction form
    158,399/344,683 = 344,683/x
  3. Step 3: Cross multiply
    158,399x = 344,683 × 344,683
  4. Step 4: Simplify right side
    158,399x = 118,806,370,489
  5. Step 5: Solve for x
    x = 118,806,370,489/158,399
  6. Step 6: Final answer
    x = 750,044.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.