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Finding the Third Proportional to 158,782.50 and 225,697.50

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Solution

The third proportional to 158,782.50 and 225,697.50 is: 320,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,782.50 : 225,697.50 = 225,697.50 : x
  2. Step 2: Convert to fraction form
    158,782.50/225,697.50 = 225,697.50/x
  3. Step 3: Cross multiply
    158,782.50x = 225,697.50 × 225,697.50
  4. Step 4: Simplify right side
    158,782.50x = 50,939,361,506.25
  5. Step 5: Solve for x
    x = 50,939,361,506.25/158,782.50
  6. Step 6: Final answer
    x = 320,812.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.