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Finding the Third Proportional to 131,094 and 197,715

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Solution

The third proportional to 131,094 and 197,715 is: 298,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,094 : 197,715 = 197,715 : x
  2. Step 2: Convert to fraction form
    131,094/197,715 = 197,715/x
  3. Step 3: Cross multiply
    131,094x = 197,715 × 197,715
  4. Step 4: Simplify right side
    131,094x = 39,091,221,225
  5. Step 5: Solve for x
    x = 39,091,221,225/131,094
  6. Step 6: Final answer
    x = 298,192.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.