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Finding the Third Proportional to 248,535.75 and 380,031.75

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Solution

The third proportional to 248,535.75 and 380,031.75 is: 581,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,535.75 : 380,031.75 = 380,031.75 : x
  2. Step 2: Convert to fraction form
    248,535.75/380,031.75 = 380,031.75/x
  3. Step 3: Cross multiply
    248,535.75x = 380,031.75 × 380,031.75
  4. Step 4: Simplify right side
    248,535.75x = 144,424,131,008.06
  5. Step 5: Solve for x
    x = 144,424,131,008.06/248,535.75
  6. Step 6: Final answer
    x = 581,100.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.