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Finding the Third Proportional to 193,284 and 292,599

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Solution

The third proportional to 193,284 and 292,599 is: 442,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,284 : 292,599 = 292,599 : x
  2. Step 2: Convert to fraction form
    193,284/292,599 = 292,599/x
  3. Step 3: Cross multiply
    193,284x = 292,599 × 292,599
  4. Step 4: Simplify right side
    193,284x = 85,614,174,801
  5. Step 5: Solve for x
    x = 85,614,174,801/193,284
  6. Step 6: Final answer
    x = 442,944.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.