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Finding the Third Proportional to 186,364.69 and 405,352.13

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Solution

The third proportional to 186,364.69 and 405,352.13 is: 881,660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,364.69 : 405,352.13 = 405,352.13 : x
  2. Step 2: Convert to fraction form
    186,364.69/405,352.13 = 405,352.13/x
  3. Step 3: Cross multiply
    186,364.69x = 405,352.13 × 405,352.13
  4. Step 4: Simplify right side
    186,364.69x = 164,310,345,242.02
  5. Step 5: Solve for x
    x = 164,310,345,242.02/186,364.69
  6. Step 6: Final answer
    x = 881,660.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.