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Finding the Third Proportional to 214,618 and 320,793

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Solution

The third proportional to 214,618 and 320,793 is: 479,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,618 : 320,793 = 320,793 : x
  2. Step 2: Convert to fraction form
    214,618/320,793 = 320,793/x
  3. Step 3: Cross multiply
    214,618x = 320,793 × 320,793
  4. Step 4: Simplify right side
    214,618x = 102,908,148,849
  5. Step 5: Solve for x
    x = 102,908,148,849/214,618
  6. Step 6: Final answer
    x = 479,494.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.