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Finding the Third Proportional to 154,041 and 333,354

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Solution

The third proportional to 154,041 and 333,354 is: 721,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,041 : 333,354 = 333,354 : x
  2. Step 2: Convert to fraction form
    154,041/333,354 = 333,354/x
  3. Step 3: Cross multiply
    154,041x = 333,354 × 333,354
  4. Step 4: Simplify right side
    154,041x = 111,124,889,316
  5. Step 5: Solve for x
    x = 111,124,889,316/154,041
  6. Step 6: Final answer
    x = 721,398.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.