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Finding the Third Proportional to 115,614.50 and 252,237.50

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Solution

The third proportional to 115,614.50 and 252,237.50 is: 550,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,614.50 : 252,237.50 = 252,237.50 : x
  2. Step 2: Convert to fraction form
    115,614.50/252,237.50 = 252,237.50/x
  3. Step 3: Cross multiply
    115,614.50x = 252,237.50 × 252,237.50
  4. Step 4: Simplify right side
    115,614.50x = 63,623,756,406.25
  5. Step 5: Solve for x
    x = 63,623,756,406.25/115,614.50
  6. Step 6: Final answer
    x = 550,309.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.