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Finding the Third Proportional to 194,806.75 and 291,425.25

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Solution

The third proportional to 194,806.75 and 291,425.25 is: 435,963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,806.75 : 291,425.25 = 291,425.25 : x
  2. Step 2: Convert to fraction form
    194,806.75/291,425.25 = 291,425.25/x
  3. Step 3: Cross multiply
    194,806.75x = 291,425.25 × 291,425.25
  4. Step 4: Simplify right side
    194,806.75x = 84,928,676,337.56
  5. Step 5: Solve for x
    x = 84,928,676,337.56/194,806.75
  6. Step 6: Final answer
    x = 435,963.72

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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.