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Finding the Third Proportional to 69,234 and 150,618

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Solution

The third proportional to 69,234 and 150,618 is: 327,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,234 : 150,618 = 150,618 : x
  2. Step 2: Convert to fraction form
    69,234/150,618 = 150,618/x
  3. Step 3: Cross multiply
    69,234x = 150,618 × 150,618
  4. Step 4: Simplify right side
    69,234x = 22,685,781,924
  5. Step 5: Solve for x
    x = 22,685,781,924/69,234
  6. Step 6: Final answer
    x = 327,668.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.