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Finding the Third Proportional to 193,283.50 and 415,172.50

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Solution

The third proportional to 193,283.50 and 415,172.50 is: 891,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,283.50 : 415,172.50 = 415,172.50 : x
  2. Step 2: Convert to fraction form
    193,283.50/415,172.50 = 415,172.50/x
  3. Step 3: Cross multiply
    193,283.50x = 415,172.50 × 415,172.50
  4. Step 4: Simplify right side
    193,283.50x = 172,368,204,756.25
  5. Step 5: Solve for x
    x = 172,368,204,756.25/193,283.50
  6. Step 6: Final answer
    x = 891,789.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.