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Finding the Third Proportional to 182,696 and 286,666

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Solution

The third proportional to 182,696 and 286,666 is: 449,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,696 : 286,666 = 286,666 : x
  2. Step 2: Convert to fraction form
    182,696/286,666 = 286,666/x
  3. Step 3: Cross multiply
    182,696x = 286,666 × 286,666
  4. Step 4: Simplify right side
    182,696x = 82,177,395,556
  5. Step 5: Solve for x
    x = 82,177,395,556/182,696
  6. Step 6: Final answer
    x = 449,804.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.