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Finding the Third Proportional to 131,457.38 and 214,635.38

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Solution

The third proportional to 131,457.38 and 214,635.38 is: 350,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,457.38 : 214,635.38 = 214,635.38 : x
  2. Step 2: Convert to fraction form
    131,457.38/214,635.38 = 214,635.38/x
  3. Step 3: Cross multiply
    131,457.38x = 214,635.38 × 214,635.38
  4. Step 4: Simplify right side
    131,457.38x = 46,068,344,201.39
  5. Step 5: Solve for x
    x = 46,068,344,201.39/131,457.38
  6. Step 6: Final answer
    x = 350,443.21

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.