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Finding the Third Proportional to 172,172.25 and 252,588.38

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Solution

The third proportional to 172,172.25 and 252,588.38 is: 370,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,172.25 : 252,588.38 = 252,588.38 : x
  2. Step 2: Convert to fraction form
    172,172.25/252,588.38 = 252,588.38/x
  3. Step 3: Cross multiply
    172,172.25x = 252,588.38 × 252,588.38
  4. Step 4: Simplify right side
    172,172.25x = 63,800,887,185.14
  5. Step 5: Solve for x
    x = 63,800,887,185.14/172,172.25
  6. Step 6: Final answer
    x = 370,564.29

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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.