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Finding the Third Proportional to 177,618 and 250,153

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Solution

The third proportional to 177,618 and 250,153 is: 352,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,618 : 250,153 = 250,153 : x
  2. Step 2: Convert to fraction form
    177,618/250,153 = 250,153/x
  3. Step 3: Cross multiply
    177,618x = 250,153 × 250,153
  4. Step 4: Simplify right side
    177,618x = 62,576,523,409
  5. Step 5: Solve for x
    x = 62,576,523,409/177,618
  6. Step 6: Final answer
    x = 352,309.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.