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Finding the Third Proportional to 165,136 and 351,584

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Solution

The third proportional to 165,136 and 351,584 is: 748,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,136 : 351,584 = 351,584 : x
  2. Step 2: Convert to fraction form
    165,136/351,584 = 351,584/x
  3. Step 3: Cross multiply
    165,136x = 351,584 × 351,584
  4. Step 4: Simplify right side
    165,136x = 123,611,309,056
  5. Step 5: Solve for x
    x = 123,611,309,056/165,136
  6. Step 6: Final answer
    x = 748,542.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.