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Finding the Third Proportional to 186,184 and 401,893

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Solution

The third proportional to 186,184 and 401,893 is: 867,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,184 : 401,893 = 401,893 : x
  2. Step 2: Convert to fraction form
    186,184/401,893 = 401,893/x
  3. Step 3: Cross multiply
    186,184x = 401,893 × 401,893
  4. Step 4: Simplify right side
    186,184x = 161,517,983,449
  5. Step 5: Solve for x
    x = 161,517,983,449/186,184
  6. Step 6: Final answer
    x = 867,518.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.