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Finding the Third Proportional to 131,046 and 196,362

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Solution

The third proportional to 131,046 and 196,362 is: 294,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,046 : 196,362 = 196,362 : x
  2. Step 2: Convert to fraction form
    131,046/196,362 = 196,362/x
  3. Step 3: Cross multiply
    131,046x = 196,362 × 196,362
  4. Step 4: Simplify right side
    131,046x = 38,558,035,044
  5. Step 5: Solve for x
    x = 38,558,035,044/131,046
  6. Step 6: Final answer
    x = 294,232.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.