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Finding the Third Proportional to 183,162 and 386,004

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Solution

The third proportional to 183,162 and 386,004 is: 813,482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,162 : 386,004 = 386,004 : x
  2. Step 2: Convert to fraction form
    183,162/386,004 = 386,004/x
  3. Step 3: Cross multiply
    183,162x = 386,004 × 386,004
  4. Step 4: Simplify right side
    183,162x = 148,999,088,016
  5. Step 5: Solve for x
    x = 148,999,088,016/183,162
  6. Step 6: Final answer
    x = 813,482.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.