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Finding the Third Proportional to 107,994.52 and 232,545.30

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Solution

The third proportional to 107,994.52 and 232,545.30 is: 500,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,994.52 : 232,545.30 = 232,545.30 : x
  2. Step 2: Convert to fraction form
    107,994.52/232,545.30 = 232,545.30/x
  3. Step 3: Cross multiply
    107,994.52x = 232,545.30 × 232,545.30
  4. Step 4: Simplify right side
    107,994.52x = 54,077,318,732.20
  5. Step 5: Solve for x
    x = 54,077,318,732.20/107,994.52
  6. Step 6: Final answer
    x = 500,741.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.