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Finding the Third Proportional to 186,810 and 386,913

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Solution

The third proportional to 186,810 and 386,913 is: 801,357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,810 : 386,913 = 386,913 : x
  2. Step 2: Convert to fraction form
    186,810/386,913 = 386,913/x
  3. Step 3: Cross multiply
    186,810x = 386,913 × 386,913
  4. Step 4: Simplify right side
    186,810x = 149,701,669,569
  5. Step 5: Solve for x
    x = 149,701,669,569/186,810
  6. Step 6: Final answer
    x = 801,357.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.