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Finding the Third Proportional to 194,906 and 291,575

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Solution

The third proportional to 194,906 and 291,575 is: 436,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,906 : 291,575 = 291,575 : x
  2. Step 2: Convert to fraction form
    194,906/291,575 = 291,575/x
  3. Step 3: Cross multiply
    194,906x = 291,575 × 291,575
  4. Step 4: Simplify right side
    194,906x = 85,015,980,625
  5. Step 5: Solve for x
    x = 85,015,980,625/194,906
  6. Step 6: Final answer
    x = 436,189.65

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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.