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Finding the Third Proportional to 111,405.19 and 240,564.75

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Solution

The third proportional to 111,405.19 and 240,564.75 is: 519,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,405.19 : 240,564.75 = 240,564.75 : x
  2. Step 2: Convert to fraction form
    111,405.19/240,564.75 = 240,564.75/x
  3. Step 3: Cross multiply
    111,405.19x = 240,564.75 × 240,564.75
  4. Step 4: Simplify right side
    111,405.19x = 57,871,398,942.56
  5. Step 5: Solve for x
    x = 57,871,398,942.56/111,405.19
  6. Step 6: Final answer
    x = 519,467.72

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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.