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Finding the Third Proportional to 131,762 and 197,283

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Solution

The third proportional to 131,762 and 197,283 is: 295,385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,762 : 197,283 = 197,283 : x
  2. Step 2: Convert to fraction form
    131,762/197,283 = 197,283/x
  3. Step 3: Cross multiply
    131,762x = 197,283 × 197,283
  4. Step 4: Simplify right side
    131,762x = 38,920,582,089
  5. Step 5: Solve for x
    x = 38,920,582,089/131,762
  6. Step 6: Final answer
    x = 295,385.48

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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.