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Finding the Third Proportional to 152,801.44 and 224,519.34

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Solution

The third proportional to 152,801.44 and 224,519.34 is: 329,898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,801.44 : 224,519.34 = 224,519.34 : x
  2. Step 2: Convert to fraction form
    152,801.44/224,519.34 = 224,519.34/x
  3. Step 3: Cross multiply
    152,801.44x = 224,519.34 × 224,519.34
  4. Step 4: Simplify right side
    152,801.44x = 50,408,935,717.93
  5. Step 5: Solve for x
    x = 50,408,935,717.93/152,801.44
  6. Step 6: Final answer
    x = 329,898.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.