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Finding the Third Proportional to 186,804 and 399,850

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Solution

The third proportional to 186,804 and 399,850 is: 855,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,804 : 399,850 = 399,850 : x
  2. Step 2: Convert to fraction form
    186,804/399,850 = 399,850/x
  3. Step 3: Cross multiply
    186,804x = 399,850 × 399,850
  4. Step 4: Simplify right side
    186,804x = 159,880,022,500
  5. Step 5: Solve for x
    x = 159,880,022,500/186,804
  6. Step 6: Final answer
    x = 855,870.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.