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Finding the Third Proportional to 194,756 and 291,355

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Solution

The third proportional to 194,756 and 291,355 is: 435,867.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,756 : 291,355 = 291,355 : x
  2. Step 2: Convert to fraction form
    194,756/291,355 = 291,355/x
  3. Step 3: Cross multiply
    194,756x = 291,355 × 291,355
  4. Step 4: Simplify right side
    194,756x = 84,887,736,025
  5. Step 5: Solve for x
    x = 84,887,736,025/194,756
  6. Step 6: Final answer
    x = 435,867.12

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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.