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Finding the Third Proportional to 132,768.50 and 286,666

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Solution

The third proportional to 132,768.50 and 286,666 is: 618,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,768.50 : 286,666 = 286,666 : x
  2. Step 2: Convert to fraction form
    132,768.50/286,666 = 286,666/x
  3. Step 3: Cross multiply
    132,768.50x = 286,666 × 286,666
  4. Step 4: Simplify right side
    132,768.50x = 82,177,395,556
  5. Step 5: Solve for x
    x = 82,177,395,556/132,768.50
  6. Step 6: Final answer
    x = 618,952.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.