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Finding the Third Proportional to 158,597 and 348,738

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Solution

The third proportional to 158,597 and 348,738 is: 766,837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,597 : 348,738 = 348,738 : x
  2. Step 2: Convert to fraction form
    158,597/348,738 = 348,738/x
  3. Step 3: Cross multiply
    158,597x = 348,738 × 348,738
  4. Step 4: Simplify right side
    158,597x = 121,618,192,644
  5. Step 5: Solve for x
    x = 121,618,192,644/158,597
  6. Step 6: Final answer
    x = 766,837.91

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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.