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Finding the Third Proportional to 194,900 and 291,566

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Solution

The third proportional to 194,900 and 291,566 is: 436,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,900 : 291,566 = 291,566 : x
  2. Step 2: Convert to fraction form
    194,900/291,566 = 291,566/x
  3. Step 3: Cross multiply
    194,900x = 291,566 × 291,566
  4. Step 4: Simplify right side
    194,900x = 85,010,732,356
  5. Step 5: Solve for x
    x = 85,010,732,356/194,900
  6. Step 6: Final answer
    x = 436,176.15

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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.