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Finding the Third Proportional to 112,975 and 235,307

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Solution

The third proportional to 112,975 and 235,307 is: 490,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,975 : 235,307 = 235,307 : x
  2. Step 2: Convert to fraction form
    112,975/235,307 = 235,307/x
  3. Step 3: Cross multiply
    112,975x = 235,307 × 235,307
  4. Step 4: Simplify right side
    112,975x = 55,369,384,249
  5. Step 5: Solve for x
    x = 55,369,384,249/112,975
  6. Step 6: Final answer
    x = 490,102.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.