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Finding the Third Proportional to 112,266 and 240,096

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Solution

The third proportional to 112,266 and 240,096 is: 513,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,266 : 240,096 = 240,096 : x
  2. Step 2: Convert to fraction form
    112,266/240,096 = 240,096/x
  3. Step 3: Cross multiply
    112,266x = 240,096 × 240,096
  4. Step 4: Simplify right side
    112,266x = 57,646,089,216
  5. Step 5: Solve for x
    x = 57,646,089,216/112,266
  6. Step 6: Final answer
    x = 513,477.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.