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Finding the Third Proportional to 154,555 and 338,666

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Solution

The third proportional to 154,555 and 338,666 is: 742,096.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,555 : 338,666 = 338,666 : x
  2. Step 2: Convert to fraction form
    154,555/338,666 = 338,666/x
  3. Step 3: Cross multiply
    154,555x = 338,666 × 338,666
  4. Step 4: Simplify right side
    154,555x = 114,694,659,556
  5. Step 5: Solve for x
    x = 114,694,659,556/154,555
  6. Step 6: Final answer
    x = 742,096.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.