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Finding the Third Proportional to 195,512 and 292,402

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Solution

The third proportional to 195,512 and 292,402 is: 437,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,512 : 292,402 = 292,402 : x
  2. Step 2: Convert to fraction form
    195,512/292,402 = 292,402/x
  3. Step 3: Cross multiply
    195,512x = 292,402 × 292,402
  4. Step 4: Simplify right side
    195,512x = 85,498,929,604
  5. Step 5: Solve for x
    x = 85,498,929,604/195,512
  6. Step 6: Final answer
    x = 437,307.84

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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.