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Finding the Third Proportional to 194,789 and 292,184

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Solution

The third proportional to 194,789 and 292,184 is: 438,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,789 : 292,184 = 292,184 : x
  2. Step 2: Convert to fraction form
    194,789/292,184 = 292,184/x
  3. Step 3: Cross multiply
    194,789x = 292,184 × 292,184
  4. Step 4: Simplify right side
    194,789x = 85,371,489,856
  5. Step 5: Solve for x
    x = 85,371,489,856/194,789
  6. Step 6: Final answer
    x = 438,276.75

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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.