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Finding the Third Proportional to 111,709 and 240,913

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Solution

The third proportional to 111,709 and 240,913 is: 519,555.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,709 : 240,913 = 240,913 : x
  2. Step 2: Convert to fraction form
    111,709/240,913 = 240,913/x
  3. Step 3: Cross multiply
    111,709x = 240,913 × 240,913
  4. Step 4: Simplify right side
    111,709x = 58,039,073,569
  5. Step 5: Solve for x
    x = 58,039,073,569/111,709
  6. Step 6: Final answer
    x = 519,555.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.