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Finding the Third Proportional to 214,782 and 330,282

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Solution

The third proportional to 214,782 and 330,282 is: 507,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,782 : 330,282 = 330,282 : x
  2. Step 2: Convert to fraction form
    214,782/330,282 = 330,282/x
  3. Step 3: Cross multiply
    214,782x = 330,282 × 330,282
  4. Step 4: Simplify right side
    214,782x = 109,086,199,524
  5. Step 5: Solve for x
    x = 109,086,199,524/214,782
  6. Step 6: Final answer
    x = 507,892.65

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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.