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Finding the Third Proportional to 154,469 and 334,628

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Solution

The third proportional to 154,469 and 334,628 is: 724,908.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,469 : 334,628 = 334,628 : x
  2. Step 2: Convert to fraction form
    154,469/334,628 = 334,628/x
  3. Step 3: Cross multiply
    154,469x = 334,628 × 334,628
  4. Step 4: Simplify right side
    154,469x = 111,975,898,384
  5. Step 5: Solve for x
    x = 111,975,898,384/154,469
  6. Step 6: Final answer
    x = 724,908.55

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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.