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Finding the Third Proportional to 103,716 and 223,200

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Solution

The third proportional to 103,716 and 223,200 is: 480,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,716 : 223,200 = 223,200 : x
  2. Step 2: Convert to fraction form
    103,716/223,200 = 223,200/x
  3. Step 3: Cross multiply
    103,716x = 223,200 × 223,200
  4. Step 4: Simplify right side
    103,716x = 49,818,240,000
  5. Step 5: Solve for x
    x = 49,818,240,000/103,716
  6. Step 6: Final answer
    x = 480,333.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.