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Finding the Third Proportional to 187,326 and 407,904

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Solution

The third proportional to 187,326 and 407,904 is: 888,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,326 : 407,904 = 407,904 : x
  2. Step 2: Convert to fraction form
    187,326/407,904 = 407,904/x
  3. Step 3: Cross multiply
    187,326x = 407,904 × 407,904
  4. Step 4: Simplify right side
    187,326x = 166,385,673,216
  5. Step 5: Solve for x
    x = 166,385,673,216/187,326
  6. Step 6: Final answer
    x = 888,214.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.