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Finding the Third Proportional to 163,524 and 231,894

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Solution

The third proportional to 163,524 and 231,894 is: 328,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,524 : 231,894 = 231,894 : x
  2. Step 2: Convert to fraction form
    163,524/231,894 = 231,894/x
  3. Step 3: Cross multiply
    163,524x = 231,894 × 231,894
  4. Step 4: Simplify right side
    163,524x = 53,774,827,236
  5. Step 5: Solve for x
    x = 53,774,827,236/163,524
  6. Step 6: Final answer
    x = 328,849.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.