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Finding the Third Proportional to 154,106 and 337,588

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Solution

The third proportional to 154,106 and 337,588 is: 739,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,106 : 337,588 = 337,588 : x
  2. Step 2: Convert to fraction form
    154,106/337,588 = 337,588/x
  3. Step 3: Cross multiply
    154,106x = 337,588 × 337,588
  4. Step 4: Simplify right side
    154,106x = 113,965,657,744
  5. Step 5: Solve for x
    x = 113,965,657,744/154,106
  6. Step 6: Final answer
    x = 739,527.71

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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.