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Finding the Third Proportional to 158,800 and 348,714

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Solution

The third proportional to 158,800 and 348,714 is: 765,752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,800 : 348,714 = 348,714 : x
  2. Step 2: Convert to fraction form
    158,800/348,714 = 348,714/x
  3. Step 3: Cross multiply
    158,800x = 348,714 × 348,714
  4. Step 4: Simplify right side
    158,800x = 121,601,453,796
  5. Step 5: Solve for x
    x = 121,601,453,796/158,800
  6. Step 6: Final answer
    x = 765,752.23

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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.