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Finding the Third Proportional to 154,470 and 334,631

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Solution

The third proportional to 154,470 and 334,631 is: 724,916.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,470 : 334,631 = 334,631 : x
  2. Step 2: Convert to fraction form
    154,470/334,631 = 334,631/x
  3. Step 3: Cross multiply
    154,470x = 334,631 × 334,631
  4. Step 4: Simplify right side
    154,470x = 111,977,906,161
  5. Step 5: Solve for x
    x = 111,977,906,161/154,470
  6. Step 6: Final answer
    x = 724,916.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.