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Finding the Third Proportional to 146,317 and 232,166

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Solution

The third proportional to 146,317 and 232,166 is: 368,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,317 : 232,166 = 232,166 : x
  2. Step 2: Convert to fraction form
    146,317/232,166 = 232,166/x
  3. Step 3: Cross multiply
    146,317x = 232,166 × 232,166
  4. Step 4: Simplify right side
    146,317x = 53,901,051,556
  5. Step 5: Solve for x
    x = 53,901,051,556/146,317
  6. Step 6: Final answer
    x = 368,385.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.