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Finding the Third Proportional to 109,642.50 and 240,224.63

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Solution

The third proportional to 109,642.50 and 240,224.63 is: 526,327.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,642.50 : 240,224.63 = 240,224.63 : x
  2. Step 2: Convert to fraction form
    109,642.50/240,224.63 = 240,224.63/x
  3. Step 3: Cross multiply
    109,642.50x = 240,224.63 × 240,224.63
  4. Step 4: Simplify right side
    109,642.50x = 57,707,870,456.39
  5. Step 5: Solve for x
    x = 57,707,870,456.39/109,642.50
  6. Step 6: Final answer
    x = 526,327.57

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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.