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Finding the Third Proportional to 195,294 and 292,942

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Solution

The third proportional to 195,294 and 292,942 is: 439,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,294 : 292,942 = 292,942 : x
  2. Step 2: Convert to fraction form
    195,294/292,942 = 292,942/x
  3. Step 3: Cross multiply
    195,294x = 292,942 × 292,942
  4. Step 4: Simplify right side
    195,294x = 85,815,015,364
  5. Step 5: Solve for x
    x = 85,815,015,364/195,294
  6. Step 6: Final answer
    x = 439,414.50

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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.