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Finding the Third Proportional to 111,032 and 240,784

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Solution

The third proportional to 111,032 and 240,784 is: 522,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,032 : 240,784 = 240,784 : x
  2. Step 2: Convert to fraction form
    111,032/240,784 = 240,784/x
  3. Step 3: Cross multiply
    111,032x = 240,784 × 240,784
  4. Step 4: Simplify right side
    111,032x = 57,976,934,656
  5. Step 5: Solve for x
    x = 57,976,934,656/111,032
  6. Step 6: Final answer
    x = 522,164.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.