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Finding the Third Proportional to 207,364 and 330,738

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Solution

The third proportional to 207,364 and 330,738 is: 527,515.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364 : 330,738 = 330,738 : x
  2. Step 2: Convert to fraction form
    207,364/330,738 = 330,738/x
  3. Step 3: Cross multiply
    207,364x = 330,738 × 330,738
  4. Step 4: Simplify right side
    207,364x = 109,387,624,644
  5. Step 5: Solve for x
    x = 109,387,624,644/207,364
  6. Step 6: Final answer
    x = 527,515.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.