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Finding the Third Proportional to 188,488 and 403,124

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Solution

The third proportional to 188,488 and 403,124 is: 862,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,488 : 403,124 = 403,124 : x
  2. Step 2: Convert to fraction form
    188,488/403,124 = 403,124/x
  3. Step 3: Cross multiply
    188,488x = 403,124 × 403,124
  4. Step 4: Simplify right side
    188,488x = 162,508,959,376
  5. Step 5: Solve for x
    x = 162,508,959,376/188,488
  6. Step 6: Final answer
    x = 862,171.38

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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.