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Finding the Third Proportional to 154,500 and 338,526

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Solution

The third proportional to 154,500 and 338,526 is: 741,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,500 : 338,526 = 338,526 : x
  2. Step 2: Convert to fraction form
    154,500/338,526 = 338,526/x
  3. Step 3: Cross multiply
    154,500x = 338,526 × 338,526
  4. Step 4: Simplify right side
    154,500x = 114,599,852,676
  5. Step 5: Solve for x
    x = 114,599,852,676/154,500
  6. Step 6: Final answer
    x = 741,746.62

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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.