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Finding the Third Proportional to 113,876.44 and 243,516.38

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Solution

The third proportional to 113,876.44 and 243,516.38 is: 520,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,876.44 : 243,516.38 = 243,516.38 : x
  2. Step 2: Convert to fraction form
    113,876.44/243,516.38 = 243,516.38/x
  3. Step 3: Cross multiply
    113,876.44x = 243,516.38 × 243,516.38
  4. Step 4: Simplify right side
    113,876.44x = 59,300,224,893.14
  5. Step 5: Solve for x
    x = 59,300,224,893.14/113,876.44
  6. Step 6: Final answer
    x = 520,741.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.