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Finding the Third Proportional to 111,474 and 242,630

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Solution

The third proportional to 111,474 and 242,630 is: 528,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,474 : 242,630 = 242,630 : x
  2. Step 2: Convert to fraction form
    111,474/242,630 = 242,630/x
  3. Step 3: Cross multiply
    111,474x = 242,630 × 242,630
  4. Step 4: Simplify right side
    111,474x = 58,869,316,900
  5. Step 5: Solve for x
    x = 58,869,316,900/111,474
  6. Step 6: Final answer
    x = 528,099.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.