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Finding the Third Proportional to 146,713 and 232,372

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Solution

The third proportional to 146,713 and 232,372 is: 368,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,713 : 232,372 = 232,372 : x
  2. Step 2: Convert to fraction form
    146,713/232,372 = 232,372/x
  3. Step 3: Cross multiply
    146,713x = 232,372 × 232,372
  4. Step 4: Simplify right side
    146,713x = 53,996,746,384
  5. Step 5: Solve for x
    x = 53,996,746,384/146,713
  6. Step 6: Final answer
    x = 368,043.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.