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Finding the Third Proportional to 194,531 and 291,796

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Solution

The third proportional to 194,531 and 291,796 is: 437,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,531 : 291,796 = 291,796 : x
  2. Step 2: Convert to fraction form
    194,531/291,796 = 291,796/x
  3. Step 3: Cross multiply
    194,531x = 291,796 × 291,796
  4. Step 4: Simplify right side
    194,531x = 85,144,905,616
  5. Step 5: Solve for x
    x = 85,144,905,616/194,531
  6. Step 6: Final answer
    x = 437,693.25

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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.