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Finding the Third Proportional to 186,476 and 408,218

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Solution

The third proportional to 186,476 and 408,218 is: 893,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,476 : 408,218 = 408,218 : x
  2. Step 2: Convert to fraction form
    186,476/408,218 = 408,218/x
  3. Step 3: Cross multiply
    186,476x = 408,218 × 408,218
  4. Step 4: Simplify right side
    186,476x = 166,641,935,524
  5. Step 5: Solve for x
    x = 166,641,935,524/186,476
  6. Step 6: Final answer
    x = 893,637.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.