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Finding the Third Proportional to 154,008 and 337,410

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Solution

The third proportional to 154,008 and 337,410 is: 739,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,008 : 337,410 = 337,410 : x
  2. Step 2: Convert to fraction form
    154,008/337,410 = 337,410/x
  3. Step 3: Cross multiply
    154,008x = 337,410 × 337,410
  4. Step 4: Simplify right side
    154,008x = 113,845,508,100
  5. Step 5: Solve for x
    x = 113,845,508,100/154,008
  6. Step 6: Final answer
    x = 739,218.15

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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.