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Finding the Third Proportional to 152,323 and 334,183

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Solution

The third proportional to 152,323 and 334,183 is: 733,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,323 : 334,183 = 334,183 : x
  2. Step 2: Convert to fraction form
    152,323/334,183 = 334,183/x
  3. Step 3: Cross multiply
    152,323x = 334,183 × 334,183
  4. Step 4: Simplify right side
    152,323x = 111,678,277,489
  5. Step 5: Solve for x
    x = 111,678,277,489/152,323
  6. Step 6: Final answer
    x = 733,167.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.