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Finding the Third Proportional to 131,090 and 197,282

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Solution

The third proportional to 131,090 and 197,282 is: 296,896.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,090 : 197,282 = 197,282 : x
  2. Step 2: Convert to fraction form
    131,090/197,282 = 197,282/x
  3. Step 3: Cross multiply
    131,090x = 197,282 × 197,282
  4. Step 4: Simplify right side
    131,090x = 38,920,187,524
  5. Step 5: Solve for x
    x = 38,920,187,524/131,090
  6. Step 6: Final answer
    x = 296,896.69

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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.