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Finding the Third Proportional to 112,971.38 and 243,438.75

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Solution

The third proportional to 112,971.38 and 243,438.75 is: 524,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,971.38 : 243,438.75 = 243,438.75 : x
  2. Step 2: Convert to fraction form
    112,971.38/243,438.75 = 243,438.75/x
  3. Step 3: Cross multiply
    112,971.38x = 243,438.75 × 243,438.75
  4. Step 4: Simplify right side
    112,971.38x = 59,262,425,001.56
  5. Step 5: Solve for x
    x = 59,262,425,001.56/112,971.38
  6. Step 6: Final answer
    x = 524,579.12

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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.