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Finding the Third Proportional to 194,024 and 291,758

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Solution

The third proportional to 194,024 and 291,758 is: 438,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,024 : 291,758 = 291,758 : x
  2. Step 2: Convert to fraction form
    194,024/291,758 = 291,758/x
  3. Step 3: Cross multiply
    194,024x = 291,758 × 291,758
  4. Step 4: Simplify right side
    194,024x = 85,122,730,564
  5. Step 5: Solve for x
    x = 85,122,730,564/194,024
  6. Step 6: Final answer
    x = 438,722.69

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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.