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Finding the Third Proportional to 193,153.50 and 299,434.50

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Solution

The third proportional to 193,153.50 and 299,434.50 is: 464,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,153.50 : 299,434.50 = 299,434.50 : x
  2. Step 2: Convert to fraction form
    193,153.50/299,434.50 = 299,434.50/x
  3. Step 3: Cross multiply
    193,153.50x = 299,434.50 × 299,434.50
  4. Step 4: Simplify right side
    193,153.50x = 89,661,019,790.25
  5. Step 5: Solve for x
    x = 89,661,019,790.25/193,153.50
  6. Step 6: Final answer
    x = 464,195.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.