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Finding the Third Proportional to 154,056 and 333,384

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Solution

The third proportional to 154,056 and 333,384 is: 721,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,056 : 333,384 = 333,384 : x
  2. Step 2: Convert to fraction form
    154,056/333,384 = 333,384/x
  3. Step 3: Cross multiply
    154,056x = 333,384 × 333,384
  4. Step 4: Simplify right side
    154,056x = 111,144,891,456
  5. Step 5: Solve for x
    x = 111,144,891,456/154,056
  6. Step 6: Final answer
    x = 721,457.73

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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.