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Finding the Third Proportional to 194,856.75 and 310,293

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Solution

The third proportional to 194,856.75 and 310,293 is: 494,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,856.75 : 310,293 = 310,293 : x
  2. Step 2: Convert to fraction form
    194,856.75/310,293 = 310,293/x
  3. Step 3: Cross multiply
    194,856.75x = 310,293 × 310,293
  4. Step 4: Simplify right side
    194,856.75x = 96,281,745,849
  5. Step 5: Solve for x
    x = 96,281,745,849/194,856.75
  6. Step 6: Final answer
    x = 494,115.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.