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Finding the Third Proportional to 103,416 and 223,336

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Solution

The third proportional to 103,416 and 223,336 is: 482,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,416 : 223,336 = 223,336 : x
  2. Step 2: Convert to fraction form
    103,416/223,336 = 223,336/x
  3. Step 3: Cross multiply
    103,416x = 223,336 × 223,336
  4. Step 4: Simplify right side
    103,416x = 49,878,968,896
  5. Step 5: Solve for x
    x = 49,878,968,896/103,416
  6. Step 6: Final answer
    x = 482,313.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.