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Finding the Third Proportional to 158,679 and 346,335.75

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Solution

The third proportional to 158,679 and 346,335.75 is: 755,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,679 : 346,335.75 = 346,335.75 : x
  2. Step 2: Convert to fraction form
    158,679/346,335.75 = 346,335.75/x
  3. Step 3: Cross multiply
    158,679x = 346,335.75 × 346,335.75
  4. Step 4: Simplify right side
    158,679x = 119,948,451,728.06
  5. Step 5: Solve for x
    x = 119,948,451,728.06/158,679
  6. Step 6: Final answer
    x = 755,918.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.