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Finding the Third Proportional to 194,095.50 and 424,173.75

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Solution

The third proportional to 194,095.50 and 424,173.75 is: 926,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,095.50 : 424,173.75 = 424,173.75 : x
  2. Step 2: Convert to fraction form
    194,095.50/424,173.75 = 424,173.75/x
  3. Step 3: Cross multiply
    194,095.50x = 424,173.75 × 424,173.75
  4. Step 4: Simplify right side
    194,095.50x = 179,923,370,189.06
  5. Step 5: Solve for x
    x = 179,923,370,189.06/194,095.50
  6. Step 6: Final answer
    x = 926,983.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.