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Finding the Third Proportional to 158,598 and 348,740

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Solution

The third proportional to 158,598 and 348,740 is: 766,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,598 : 348,740 = 348,740 : x
  2. Step 2: Convert to fraction form
    158,598/348,740 = 348,740/x
  3. Step 3: Cross multiply
    158,598x = 348,740 × 348,740
  4. Step 4: Simplify right side
    158,598x = 121,619,587,600
  5. Step 5: Solve for x
    x = 121,619,587,600/158,598
  6. Step 6: Final answer
    x = 766,841.87

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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.