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Finding the Third Proportional to 188,525 and 404,037

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Solution

The third proportional to 188,525 and 404,037 is: 865,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,525 : 404,037 = 404,037 : x
  2. Step 2: Convert to fraction form
    188,525/404,037 = 404,037/x
  3. Step 3: Cross multiply
    188,525x = 404,037 × 404,037
  4. Step 4: Simplify right side
    188,525x = 163,245,897,369
  5. Step 5: Solve for x
    x = 163,245,897,369/188,525
  6. Step 6: Final answer
    x = 865,911.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.