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Finding the Third Proportional to 154,414.69 and 333,433.13

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Solution

The third proportional to 154,414.69 and 333,433.13 is: 719,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,414.69 : 333,433.13 = 333,433.13 : x
  2. Step 2: Convert to fraction form
    154,414.69/333,433.13 = 333,433.13/x
  3. Step 3: Cross multiply
    154,414.69x = 333,433.13 × 333,433.13
  4. Step 4: Simplify right side
    154,414.69x = 111,177,648,847.27
  5. Step 5: Solve for x
    x = 111,177,648,847.27/154,414.69
  6. Step 6: Final answer
    x = 719,994.00

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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.