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Finding the Third Proportional to 154,060 and 333,391

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Solution

The third proportional to 154,060 and 333,391 is: 721,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,060 : 333,391 = 333,391 : x
  2. Step 2: Convert to fraction form
    154,060/333,391 = 333,391/x
  3. Step 3: Cross multiply
    154,060x = 333,391 × 333,391
  4. Step 4: Simplify right side
    154,060x = 111,149,558,881
  5. Step 5: Solve for x
    x = 111,149,558,881/154,060
  6. Step 6: Final answer
    x = 721,469.29

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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.