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Finding the Third Proportional to 195,528 and 292,425

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Solution

The third proportional to 195,528 and 292,425 is: 437,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,528 : 292,425 = 292,425 : x
  2. Step 2: Convert to fraction form
    195,528/292,425 = 292,425/x
  3. Step 3: Cross multiply
    195,528x = 292,425 × 292,425
  4. Step 4: Simplify right side
    195,528x = 85,512,380,625
  5. Step 5: Solve for x
    x = 85,512,380,625/195,528
  6. Step 6: Final answer
    x = 437,340.84

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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.