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Finding the Third Proportional to 121,234.50 and 265,041

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Solution

The third proportional to 121,234.50 and 265,041 is: 579,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,234.50 : 265,041 = 265,041 : x
  2. Step 2: Convert to fraction form
    121,234.50/265,041 = 265,041/x
  3. Step 3: Cross multiply
    121,234.50x = 265,041 × 265,041
  4. Step 4: Simplify right side
    121,234.50x = 70,246,731,681
  5. Step 5: Solve for x
    x = 70,246,731,681/121,234.50
  6. Step 6: Final answer
    x = 579,428.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.