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Finding the Third Proportional to 111,817.97 and 242,688.66

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Solution

The third proportional to 111,817.97 and 242,688.66 is: 526,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,817.97 : 242,688.66 = 242,688.66 : x
  2. Step 2: Convert to fraction form
    111,817.97/242,688.66 = 242,688.66/x
  3. Step 3: Cross multiply
    111,817.97x = 242,688.66 × 242,688.66
  4. Step 4: Simplify right side
    111,817.97x = 58,897,783,872.43
  5. Step 5: Solve for x
    x = 58,897,783,872.43/111,817.97
  6. Step 6: Final answer
    x = 526,729.15

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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.