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Finding the Third Proportional to 104,382 and 232,670

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Solution

The third proportional to 104,382 and 232,670 is: 518,627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,382 : 232,670 = 232,670 : x
  2. Step 2: Convert to fraction form
    104,382/232,670 = 232,670/x
  3. Step 3: Cross multiply
    104,382x = 232,670 × 232,670
  4. Step 4: Simplify right side
    104,382x = 54,135,328,900
  5. Step 5: Solve for x
    x = 54,135,328,900/104,382
  6. Step 6: Final answer
    x = 518,627.05

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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.