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Finding the Third Proportional to 195,963 and 293,179.50

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Solution

The third proportional to 195,963 and 293,179.50 is: 438,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,963 : 293,179.50 = 293,179.50 : x
  2. Step 2: Convert to fraction form
    195,963/293,179.50 = 293,179.50/x
  3. Step 3: Cross multiply
    195,963x = 293,179.50 × 293,179.50
  4. Step 4: Simplify right side
    195,963x = 85,954,219,220.25
  5. Step 5: Solve for x
    x = 85,954,219,220.25/195,963
  6. Step 6: Final answer
    x = 438,624.74

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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.