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Finding the Third Proportional to 113,890.13 and 241,795.13

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Solution

The third proportional to 113,890.13 and 241,795.13 is: 513,344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,890.13 : 241,795.13 = 241,795.13 : x
  2. Step 2: Convert to fraction form
    113,890.13/241,795.13 = 241,795.13/x
  3. Step 3: Cross multiply
    113,890.13x = 241,795.13 × 241,795.13
  4. Step 4: Simplify right side
    113,890.13x = 58,464,882,473.77
  5. Step 5: Solve for x
    x = 58,464,882,473.77/113,890.13
  6. Step 6: Final answer
    x = 513,344.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.