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Finding the Third Proportional to 186,727.50 and 282,911.63

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Solution

The third proportional to 186,727.50 and 282,911.63 is: 428,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,727.50 : 282,911.63 = 282,911.63 : x
  2. Step 2: Convert to fraction form
    186,727.50/282,911.63 = 282,911.63/x
  3. Step 3: Cross multiply
    186,727.50x = 282,911.63 × 282,911.63
  4. Step 4: Simplify right side
    186,727.50x = 80,038,987,560.14
  5. Step 5: Solve for x
    x = 80,038,987,560.14/186,727.50
  6. Step 6: Final answer
    x = 428,640.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.