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Finding the Third Proportional to 111,143 and 240,054

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Solution

The third proportional to 111,143 and 240,054 is: 518,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,143 : 240,054 = 240,054 : x
  2. Step 2: Convert to fraction form
    111,143/240,054 = 240,054/x
  3. Step 3: Cross multiply
    111,143x = 240,054 × 240,054
  4. Step 4: Simplify right side
    111,143x = 57,625,922,916
  5. Step 5: Solve for x
    x = 57,625,922,916/111,143
  6. Step 6: Final answer
    x = 518,484.50

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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.