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Finding the Third Proportional to 112,416.19 and 240,857.44

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Solution

The third proportional to 112,416.19 and 240,857.44 is: 516,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,416.19 : 240,857.44 = 240,857.44 : x
  2. Step 2: Convert to fraction form
    112,416.19/240,857.44 = 240,857.44/x
  3. Step 3: Cross multiply
    112,416.19x = 240,857.44 × 240,857.44
  4. Step 4: Simplify right side
    112,416.19x = 58,012,305,199.07
  5. Step 5: Solve for x
    x = 58,012,305,199.07/112,416.19
  6. Step 6: Final answer
    x = 516,049.39

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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.