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Finding the Third Proportional to 111,087 and 238,590

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Solution

The third proportional to 111,087 and 238,590 is: 512,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,087 : 238,590 = 238,590 : x
  2. Step 2: Convert to fraction form
    111,087/238,590 = 238,590/x
  3. Step 3: Cross multiply
    111,087x = 238,590 × 238,590
  4. Step 4: Simplify right side
    111,087x = 56,925,188,100
  5. Step 5: Solve for x
    x = 56,925,188,100/111,087
  6. Step 6: Final answer
    x = 512,437.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.