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Finding the Third Proportional to 186,585.75 and 397,564.50

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Solution

The third proportional to 186,585.75 and 397,564.50 is: 847,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,585.75 : 397,564.50 = 397,564.50 : x
  2. Step 2: Convert to fraction form
    186,585.75/397,564.50 = 397,564.50/x
  3. Step 3: Cross multiply
    186,585.75x = 397,564.50 × 397,564.50
  4. Step 4: Simplify right side
    186,585.75x = 158,057,531,660.25
  5. Step 5: Solve for x
    x = 158,057,531,660.25/186,585.75
  6. Step 6: Final answer
    x = 847,103.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.