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Finding the Third Proportional to 194,755.25 and 291,354.25

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Solution

The third proportional to 194,755.25 and 291,354.25 is: 435,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,755.25 : 291,354.25 = 291,354.25 : x
  2. Step 2: Convert to fraction form
    194,755.25/291,354.25 = 291,354.25/x
  3. Step 3: Cross multiply
    194,755.25x = 291,354.25 × 291,354.25
  4. Step 4: Simplify right side
    194,755.25x = 84,887,298,993.06
  5. Step 5: Solve for x
    x = 84,887,298,993.06/194,755.25
  6. Step 6: Final answer
    x = 435,866.55

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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.