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Finding the Third Proportional to 186,826 and 399,896

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Solution

The third proportional to 186,826 and 399,896 is: 855,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,826 : 399,896 = 399,896 : x
  2. Step 2: Convert to fraction form
    186,826/399,896 = 399,896/x
  3. Step 3: Cross multiply
    186,826x = 399,896 × 399,896
  4. Step 4: Simplify right side
    186,826x = 159,916,810,816
  5. Step 5: Solve for x
    x = 159,916,810,816/186,826
  6. Step 6: Final answer
    x = 855,966.57

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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.