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Finding the Third Proportional to 111,148 and 230,068

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Solution

The third proportional to 111,148 and 230,068 is: 476,223.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,148 : 230,068 = 230,068 : x
  2. Step 2: Convert to fraction form
    111,148/230,068 = 230,068/x
  3. Step 3: Cross multiply
    111,148x = 230,068 × 230,068
  4. Step 4: Simplify right side
    111,148x = 52,931,284,624
  5. Step 5: Solve for x
    x = 52,931,284,624/111,148
  6. Step 6: Final answer
    x = 476,223.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.