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Finding the Third Proportional to 119,566 and 262,460

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Solution

The third proportional to 119,566 and 262,460 is: 576,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,566 : 262,460 = 262,460 : x
  2. Step 2: Convert to fraction form
    119,566/262,460 = 262,460/x
  3. Step 3: Cross multiply
    119,566x = 262,460 × 262,460
  4. Step 4: Simplify right side
    119,566x = 68,885,251,600
  5. Step 5: Solve for x
    x = 68,885,251,600/119,566
  6. Step 6: Final answer
    x = 576,127.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.