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Finding the Third Proportional to 156,917.25 and 201,477.38

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Solution

The third proportional to 156,917.25 and 201,477.38 is: 258,691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,917.25 : 201,477.38 = 201,477.38 : x
  2. Step 2: Convert to fraction form
    156,917.25/201,477.38 = 201,477.38/x
  3. Step 3: Cross multiply
    156,917.25x = 201,477.38 × 201,477.38
  4. Step 4: Simplify right side
    156,917.25x = 40,593,132,636.89
  5. Step 5: Solve for x
    x = 40,593,132,636.89/156,917.25
  6. Step 6: Final answer
    x = 258,691.33

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.