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Finding the Third Proportional to 112,839 and 245,361

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Solution

The third proportional to 112,839 and 245,361 is: 533,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,839 : 245,361 = 245,361 : x
  2. Step 2: Convert to fraction form
    112,839/245,361 = 245,361/x
  3. Step 3: Cross multiply
    112,839x = 245,361 × 245,361
  4. Step 4: Simplify right side
    112,839x = 60,202,020,321
  5. Step 5: Solve for x
    x = 60,202,020,321/112,839
  6. Step 6: Final answer
    x = 533,521.39

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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.