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Finding the Third Proportional to 194,925 and 291,591

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Solution

The third proportional to 194,925 and 291,591 is: 436,195.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,925 : 291,591 = 291,591 : x
  2. Step 2: Convert to fraction form
    194,925/291,591 = 291,591/x
  3. Step 3: Cross multiply
    194,925x = 291,591 × 291,591
  4. Step 4: Simplify right side
    194,925x = 85,025,311,281
  5. Step 5: Solve for x
    x = 85,025,311,281/194,925
  6. Step 6: Final answer
    x = 436,195.00

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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.