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Finding the Third Proportional to 112,180 and 245,420

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Solution

The third proportional to 112,180 and 245,420 is: 536,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,180 : 245,420 = 245,420 : x
  2. Step 2: Convert to fraction form
    112,180/245,420 = 245,420/x
  3. Step 3: Cross multiply
    112,180x = 245,420 × 245,420
  4. Step 4: Simplify right side
    112,180x = 60,230,976,400
  5. Step 5: Solve for x
    x = 60,230,976,400/112,180
  6. Step 6: Final answer
    x = 536,913.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.