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Finding the Third Proportional to 169,332 and 232,201

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Solution

The third proportional to 169,332 and 232,201 is: 318,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,332 : 232,201 = 232,201 : x
  2. Step 2: Convert to fraction form
    169,332/232,201 = 232,201/x
  3. Step 3: Cross multiply
    169,332x = 232,201 × 232,201
  4. Step 4: Simplify right side
    169,332x = 53,917,304,401
  5. Step 5: Solve for x
    x = 53,917,304,401/169,332
  6. Step 6: Final answer
    x = 318,411.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.