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Finding the Third Proportional to 143,618 and 227,308

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Solution

The third proportional to 143,618 and 227,308 is: 359,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,618 : 227,308 = 227,308 : x
  2. Step 2: Convert to fraction form
    143,618/227,308 = 227,308/x
  3. Step 3: Cross multiply
    143,618x = 227,308 × 227,308
  4. Step 4: Simplify right side
    143,618x = 51,668,926,864
  5. Step 5: Solve for x
    x = 51,668,926,864/143,618
  6. Step 6: Final answer
    x = 359,766.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.