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Finding the Third Proportional to 248,782.50 and 372,781.50

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Solution

The third proportional to 248,782.50 and 372,781.50 is: 558,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,782.50 : 372,781.50 = 372,781.50 : x
  2. Step 2: Convert to fraction form
    248,782.50/372,781.50 = 372,781.50/x
  3. Step 3: Cross multiply
    248,782.50x = 372,781.50 × 372,781.50
  4. Step 4: Simplify right side
    248,782.50x = 138,966,046,742.25
  5. Step 5: Solve for x
    x = 138,966,046,742.25/248,782.50
  6. Step 6: Final answer
    x = 558,584.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.