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Finding the Third Proportional to 105,894 and 232,524

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Solution

The third proportional to 105,894 and 232,524 is: 510,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,894 : 232,524 = 232,524 : x
  2. Step 2: Convert to fraction form
    105,894/232,524 = 232,524/x
  3. Step 3: Cross multiply
    105,894x = 232,524 × 232,524
  4. Step 4: Simplify right side
    105,894x = 54,067,410,576
  5. Step 5: Solve for x
    x = 54,067,410,576/105,894
  6. Step 6: Final answer
    x = 510,580.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.