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Finding the Third Proportional to 112,974 and 248,520

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Solution

The third proportional to 112,974 and 248,520 is: 546,693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,974 : 248,520 = 248,520 : x
  2. Step 2: Convert to fraction form
    112,974/248,520 = 248,520/x
  3. Step 3: Cross multiply
    112,974x = 248,520 × 248,520
  4. Step 4: Simplify right side
    112,974x = 61,762,190,400
  5. Step 5: Solve for x
    x = 61,762,190,400/112,974
  6. Step 6: Final answer
    x = 546,693.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.