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Finding the Third Proportional to 186,556.50 and 295,849.13

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Solution

The third proportional to 186,556.50 and 295,849.13 is: 469,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,556.50 : 295,849.13 = 295,849.13 : x
  2. Step 2: Convert to fraction form
    186,556.50/295,849.13 = 295,849.13/x
  3. Step 3: Cross multiply
    186,556.50x = 295,849.13 × 295,849.13
  4. Step 4: Simplify right side
    186,556.50x = 87,526,704,763.27
  5. Step 5: Solve for x
    x = 87,526,704,763.27/186,556.50
  6. Step 6: Final answer
    x = 469,169.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.