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Finding the Third Proportional to 111,887 and 243,253

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Solution

The third proportional to 111,887 and 243,253 is: 528,855.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,887 : 243,253 = 243,253 : x
  2. Step 2: Convert to fraction form
    111,887/243,253 = 243,253/x
  3. Step 3: Cross multiply
    111,887x = 243,253 × 243,253
  4. Step 4: Simplify right side
    111,887x = 59,172,022,009
  5. Step 5: Solve for x
    x = 59,172,022,009/111,887
  6. Step 6: Final answer
    x = 528,855.20

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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.