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Finding the Third Proportional to 195,098 and 291,815

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Solution

The third proportional to 195,098 and 291,815 is: 436,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,098 : 291,815 = 291,815 : x
  2. Step 2: Convert to fraction form
    195,098/291,815 = 291,815/x
  3. Step 3: Cross multiply
    195,098x = 291,815 × 291,815
  4. Step 4: Simplify right side
    195,098x = 85,155,994,225
  5. Step 5: Solve for x
    x = 85,155,994,225/195,098
  6. Step 6: Final answer
    x = 436,478.05

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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.