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Finding the Third Proportional to 194,850 and 264,051

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Solution

The third proportional to 194,850 and 264,051 is: 357,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,850 : 264,051 = 264,051 : x
  2. Step 2: Convert to fraction form
    194,850/264,051 = 264,051/x
  3. Step 3: Cross multiply
    194,850x = 264,051 × 264,051
  4. Step 4: Simplify right side
    194,850x = 69,722,930,601
  5. Step 5: Solve for x
    x = 69,722,930,601/194,850
  6. Step 6: Final answer
    x = 357,828.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.