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Finding the Third Proportional to 186,637 and 404,378

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Solution

The third proportional to 186,637 and 404,378 is: 876,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,637 : 404,378 = 404,378 : x
  2. Step 2: Convert to fraction form
    186,637/404,378 = 404,378/x
  3. Step 3: Cross multiply
    186,637x = 404,378 × 404,378
  4. Step 4: Simplify right side
    186,637x = 163,521,566,884
  5. Step 5: Solve for x
    x = 163,521,566,884/186,637
  6. Step 6: Final answer
    x = 876,147.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.