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Finding the Third Proportional to 111,182 and 243,790

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Solution

The third proportional to 111,182 and 243,790 is: 534,561.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,182 : 243,790 = 243,790 : x
  2. Step 2: Convert to fraction form
    111,182/243,790 = 243,790/x
  3. Step 3: Cross multiply
    111,182x = 243,790 × 243,790
  4. Step 4: Simplify right side
    111,182x = 59,433,564,100
  5. Step 5: Solve for x
    x = 59,433,564,100/111,182
  6. Step 6: Final answer
    x = 534,561.03

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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.