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Finding the Third Proportional to 232,462 and 359,206

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Solution

The third proportional to 232,462 and 359,206 is: 555,053.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,462 : 359,206 = 359,206 : x
  2. Step 2: Convert to fraction form
    232,462/359,206 = 359,206/x
  3. Step 3: Cross multiply
    232,462x = 359,206 × 359,206
  4. Step 4: Simplify right side
    232,462x = 129,028,950,436
  5. Step 5: Solve for x
    x = 129,028,950,436/232,462
  6. Step 6: Final answer
    x = 555,053.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.