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Finding the Third Proportional to 214,981 and 330,733

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Solution

The third proportional to 214,981 and 330,733 is: 508,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,981 : 330,733 = 330,733 : x
  2. Step 2: Convert to fraction form
    214,981/330,733 = 330,733/x
  3. Step 3: Cross multiply
    214,981x = 330,733 × 330,733
  4. Step 4: Simplify right side
    214,981x = 109,384,317,289
  5. Step 5: Solve for x
    x = 109,384,317,289/214,981
  6. Step 6: Final answer
    x = 508,809.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.