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Finding the Third Proportional to 111,162 and 243,510

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Solution

The third proportional to 111,162 and 243,510 is: 533,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,162 : 243,510 = 243,510 : x
  2. Step 2: Convert to fraction form
    111,162/243,510 = 243,510/x
  3. Step 3: Cross multiply
    111,162x = 243,510 × 243,510
  4. Step 4: Simplify right side
    111,162x = 59,297,120,100
  5. Step 5: Solve for x
    x = 59,297,120,100/111,162
  6. Step 6: Final answer
    x = 533,429.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.