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Finding the Third Proportional to 173,782.50 and 255,034.50

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Solution

The third proportional to 173,782.50 and 255,034.50 is: 374,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,782.50 : 255,034.50 = 255,034.50 : x
  2. Step 2: Convert to fraction form
    173,782.50/255,034.50 = 255,034.50/x
  3. Step 3: Cross multiply
    173,782.50x = 255,034.50 × 255,034.50
  4. Step 4: Simplify right side
    173,782.50x = 65,042,596,190.25
  5. Step 5: Solve for x
    x = 65,042,596,190.25/173,782.50
  6. Step 6: Final answer
    x = 374,275.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.