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Finding the Third Proportional to 223,563 and 338,235

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Solution

The third proportional to 223,563 and 338,235 is: 511,725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,563 : 338,235 = 338,235 : x
  2. Step 2: Convert to fraction form
    223,563/338,235 = 338,235/x
  3. Step 3: Cross multiply
    223,563x = 338,235 × 338,235
  4. Step 4: Simplify right side
    223,563x = 114,402,915,225
  5. Step 5: Solve for x
    x = 114,402,915,225/223,563
  6. Step 6: Final answer
    x = 511,725.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.