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Finding the Third Proportional to 161,664.61 and 244,733.27

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Solution

The third proportional to 161,664.61 and 244,733.27 is: 370,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,664.61 : 244,733.27 = 244,733.27 : x
  2. Step 2: Convert to fraction form
    161,664.61/244,733.27 = 244,733.27/x
  3. Step 3: Cross multiply
    161,664.61x = 244,733.27 × 244,733.27
  4. Step 4: Simplify right side
    161,664.61x = 59,894,375,127.43
  5. Step 5: Solve for x
    x = 59,894,375,127.43/161,664.61
  6. Step 6: Final answer
    x = 370,485.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.