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Finding the Third Proportional to 162,044.44 and 233,414.44

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Solution

The third proportional to 162,044.44 and 233,414.44 is: 336,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,044.44 : 233,414.44 = 233,414.44 : x
  2. Step 2: Convert to fraction form
    162,044.44/233,414.44 = 233,414.44/x
  3. Step 3: Cross multiply
    162,044.44x = 233,414.44 × 233,414.44
  4. Step 4: Simplify right side
    162,044.44x = 54,482,299,633.44
  5. Step 5: Solve for x
    x = 54,482,299,633.44/162,044.44
  6. Step 6: Final answer
    x = 336,218.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.