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Finding the Third Proportional to 161,274.38 and 256,212.56

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Solution

The third proportional to 161,274.38 and 256,212.56 is: 407,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,274.38 : 256,212.56 = 256,212.56 : x
  2. Step 2: Convert to fraction form
    161,274.38/256,212.56 = 256,212.56/x
  3. Step 3: Cross multiply
    161,274.38x = 256,212.56 × 256,212.56
  4. Step 4: Simplify right side
    161,274.38x = 65,644,877,182.82
  5. Step 5: Solve for x
    x = 65,644,877,182.82/161,274.38
  6. Step 6: Final answer
    x = 407,038.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.