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Finding the Third Proportional to 162,521.44 and 353,170.13

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Solution

The third proportional to 162,521.44 and 353,170.13 is: 767,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,521.44 : 353,170.13 = 353,170.13 : x
  2. Step 2: Convert to fraction form
    162,521.44/353,170.13 = 353,170.13/x
  3. Step 3: Cross multiply
    162,521.44x = 353,170.13 × 353,170.13
  4. Step 4: Simplify right side
    162,521.44x = 124,729,137,192.52
  5. Step 5: Solve for x
    x = 124,729,137,192.52/162,521.44
  6. Step 6: Final answer
    x = 767,462.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.