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Finding the Third Proportional to 225,392 and 338,988

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Solution

The third proportional to 225,392 and 338,988 is: 509,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,392 : 338,988 = 338,988 : x
  2. Step 2: Convert to fraction form
    225,392/338,988 = 338,988/x
  3. Step 3: Cross multiply
    225,392x = 338,988 × 338,988
  4. Step 4: Simplify right side
    225,392x = 114,912,864,144
  5. Step 5: Solve for x
    x = 114,912,864,144/225,392
  6. Step 6: Final answer
    x = 509,835.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.