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Finding the Third Proportional to 115,012.50 and 250,275

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Solution

The third proportional to 115,012.50 and 250,275 is: 544,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,012.50 : 250,275 = 250,275 : x
  2. Step 2: Convert to fraction form
    115,012.50/250,275 = 250,275/x
  3. Step 3: Cross multiply
    115,012.50x = 250,275 × 250,275
  4. Step 4: Simplify right side
    115,012.50x = 62,637,575,625
  5. Step 5: Solve for x
    x = 62,637,575,625/115,012.50
  6. Step 6: Final answer
    x = 544,615.37

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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.