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Finding the Third Proportional to 104,375 and 232,655

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Solution

The third proportional to 104,375 and 232,655 is: 518,594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,375 : 232,655 = 232,655 : x
  2. Step 2: Convert to fraction form
    104,375/232,655 = 232,655/x
  3. Step 3: Cross multiply
    104,375x = 232,655 × 232,655
  4. Step 4: Simplify right side
    104,375x = 54,128,349,025
  5. Step 5: Solve for x
    x = 54,128,349,025/104,375
  6. Step 6: Final answer
    x = 518,594.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.