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Finding the Third Proportional to 163,002.38 and 353,136.38

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Solution

The third proportional to 163,002.38 and 353,136.38 is: 765,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,002.38 : 353,136.38 = 353,136.38 : x
  2. Step 2: Convert to fraction form
    163,002.38/353,136.38 = 353,136.38/x
  3. Step 3: Cross multiply
    163,002.38x = 353,136.38 × 353,136.38
  4. Step 4: Simplify right side
    163,002.38x = 124,705,299,348.14
  5. Step 5: Solve for x
    x = 124,705,299,348.14/163,002.38
  6. Step 6: Final answer
    x = 765,052.04

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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.