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Finding the Third Proportional to 186,815.25 and 282,166.88

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Solution

The third proportional to 186,815.25 and 282,166.88 is: 426,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,815.25 : 282,166.88 = 282,166.88 : x
  2. Step 2: Convert to fraction form
    186,815.25/282,166.88 = 282,166.88/x
  3. Step 3: Cross multiply
    186,815.25x = 282,166.88 × 282,166.88
  4. Step 4: Simplify right side
    186,815.25x = 79,618,145,347.27
  5. Step 5: Solve for x
    x = 79,618,145,347.27/186,815.25
  6. Step 6: Final answer
    x = 426,186.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.