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Finding the Third Proportional to 193,987.50 and 299,284.50

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Solution

The third proportional to 193,987.50 and 299,284.50 is: 461,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,987.50 : 299,284.50 = 299,284.50 : x
  2. Step 2: Convert to fraction form
    193,987.50/299,284.50 = 299,284.50/x
  3. Step 3: Cross multiply
    193,987.50x = 299,284.50 × 299,284.50
  4. Step 4: Simplify right side
    193,987.50x = 89,571,211,940.25
  5. Step 5: Solve for x
    x = 89,571,211,940.25/193,987.50
  6. Step 6: Final answer
    x = 461,737.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.