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Finding the Third Proportional to 194,807.25 and 292,779

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Solution

The third proportional to 194,807.25 and 292,779 is: 440,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,807.25 : 292,779 = 292,779 : x
  2. Step 2: Convert to fraction form
    194,807.25/292,779 = 292,779/x
  3. Step 3: Cross multiply
    194,807.25x = 292,779 × 292,779
  4. Step 4: Simplify right side
    194,807.25x = 85,719,542,841
  5. Step 5: Solve for x
    x = 85,719,542,841/194,807.25
  6. Step 6: Final answer
    x = 440,022.34

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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.