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Finding the Third Proportional to 103,416 and 223,338

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Solution

The third proportional to 103,416 and 223,338 is: 482,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,416 : 223,338 = 223,338 : x
  2. Step 2: Convert to fraction form
    103,416/223,338 = 223,338/x
  3. Step 3: Cross multiply
    103,416x = 223,338 × 223,338
  4. Step 4: Simplify right side
    103,416x = 49,879,862,244
  5. Step 5: Solve for x
    x = 49,879,862,244/103,416
  6. Step 6: Final answer
    x = 482,322.49

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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.