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Finding the Third Proportional to 154,341 and 337,086

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Solution

The third proportional to 154,341 and 337,086 is: 736,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,341 : 337,086 = 337,086 : x
  2. Step 2: Convert to fraction form
    154,341/337,086 = 337,086/x
  3. Step 3: Cross multiply
    154,341x = 337,086 × 337,086
  4. Step 4: Simplify right side
    154,341x = 113,626,971,396
  5. Step 5: Solve for x
    x = 113,626,971,396/154,341
  6. Step 6: Final answer
    x = 736,207.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.