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Finding the Third Proportional to 119,618 and 244,420

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Solution

The third proportional to 119,618 and 244,420 is: 499,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,618 : 244,420 = 244,420 : x
  2. Step 2: Convert to fraction form
    119,618/244,420 = 244,420/x
  3. Step 3: Cross multiply
    119,618x = 244,420 × 244,420
  4. Step 4: Simplify right side
    119,618x = 59,741,136,400
  5. Step 5: Solve for x
    x = 59,741,136,400/119,618
  6. Step 6: Final answer
    x = 499,432.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.