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Finding the Third Proportional to 195,284 and 292,926

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Solution

The third proportional to 195,284 and 292,926 is: 439,389

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,284 : 292,926 = 292,926 : x
  2. Step 2: Convert to fraction form
    195,284/292,926 = 292,926/x
  3. Step 3: Cross multiply
    195,284x = 292,926 × 292,926
  4. Step 4: Simplify right side
    195,284x = 85,805,641,476
  5. Step 5: Solve for x
    x = 85,805,641,476/195,284
  6. Step 6: Final answer
    x = 439,389

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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.