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Finding the Third Proportional to 131,264 and 198,097

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Solution

The third proportional to 131,264 and 198,097 is: 298,957.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,264 : 198,097 = 198,097 : x
  2. Step 2: Convert to fraction form
    131,264/198,097 = 198,097/x
  3. Step 3: Cross multiply
    131,264x = 198,097 × 198,097
  4. Step 4: Simplify right side
    131,264x = 39,242,421,409
  5. Step 5: Solve for x
    x = 39,242,421,409/131,264
  6. Step 6: Final answer
    x = 298,957.99

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