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Finding the Third Proportional to 158,599 and 348,742

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Solution

The third proportional to 158,599 and 348,742 is: 766,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,599 : 348,742 = 348,742 : x
  2. Step 2: Convert to fraction form
    158,599/348,742 = 348,742/x
  3. Step 3: Cross multiply
    158,599x = 348,742 × 348,742
  4. Step 4: Simplify right side
    158,599x = 121,620,982,564
  5. Step 5: Solve for x
    x = 121,620,982,564/158,599
  6. Step 6: Final answer
    x = 766,845.83

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