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Finding the Third Proportional to 193,886.50 and 291,034.50

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Solution

The third proportional to 193,886.50 and 291,034.50 is: 436,859.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,886.50 : 291,034.50 = 291,034.50 : x
  2. Step 2: Convert to fraction form
    193,886.50/291,034.50 = 291,034.50/x
  3. Step 3: Cross multiply
    193,886.50x = 291,034.50 × 291,034.50
  4. Step 4: Simplify right side
    193,886.50x = 84,701,080,190.25
  5. Step 5: Solve for x
    x = 84,701,080,190.25/193,886.50
  6. Step 6: Final answer
    x = 436,859.09

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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.