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Finding the Third Proportional to 112,989 and 245,418

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Solution

The third proportional to 112,989 and 245,418 is: 533,060.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,989 : 245,418 = 245,418 : x
  2. Step 2: Convert to fraction form
    112,989/245,418 = 245,418/x
  3. Step 3: Cross multiply
    112,989x = 245,418 × 245,418
  4. Step 4: Simplify right side
    112,989x = 60,229,994,724
  5. Step 5: Solve for x
    x = 60,229,994,724/112,989
  6. Step 6: Final answer
    x = 533,060.69

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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.