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Finding the Third Proportional to 111,408.75 and 240,572.25

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Solution

The third proportional to 111,408.75 and 240,572.25 is: 519,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,408.75 : 240,572.25 = 240,572.25 : x
  2. Step 2: Convert to fraction form
    111,408.75/240,572.25 = 240,572.25/x
  3. Step 3: Cross multiply
    111,408.75x = 240,572.25 × 240,572.25
  4. Step 4: Simplify right side
    111,408.75x = 57,875,007,470.06
  5. Step 5: Solve for x
    x = 57,875,007,470.06/111,408.75
  6. Step 6: Final answer
    x = 519,483.50

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Why These Related Problems?

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