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Finding the Third Proportional to 158,596 and 348,736

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Solution

The third proportional to 158,596 and 348,736 is: 766,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,596 : 348,736 = 348,736 : x
  2. Step 2: Convert to fraction form
    158,596/348,736 = 348,736/x
  3. Step 3: Cross multiply
    158,596x = 348,736 × 348,736
  4. Step 4: Simplify right side
    158,596x = 121,616,797,696
  5. Step 5: Solve for x
    x = 121,616,797,696/158,596
  6. Step 6: Final answer
    x = 766,833.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.