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Finding the Third Proportional to 104,679 and 232,578

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Solution

The third proportional to 104,679 and 232,578 is: 516,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,679 : 232,578 = 232,578 : x
  2. Step 2: Convert to fraction form
    104,679/232,578 = 232,578/x
  3. Step 3: Cross multiply
    104,679x = 232,578 × 232,578
  4. Step 4: Simplify right side
    104,679x = 54,092,526,084
  5. Step 5: Solve for x
    x = 54,092,526,084/104,679
  6. Step 6: Final answer
    x = 516,746.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.