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Finding the Third Proportional to 186,802 and 399,848

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Solution

The third proportional to 186,802 and 399,848 is: 855,871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,802 : 399,848 = 399,848 : x
  2. Step 2: Convert to fraction form
    186,802/399,848 = 399,848/x
  3. Step 3: Cross multiply
    186,802x = 399,848 × 399,848
  4. Step 4: Simplify right side
    186,802x = 159,878,423,104
  5. Step 5: Solve for x
    x = 159,878,423,104/186,802
  6. Step 6: Final answer
    x = 855,871.05

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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.