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Finding the Third Proportional to 132,745.50 and 286,621.50

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Solution

The third proportional to 132,745.50 and 286,621.50 is: 618,867.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,745.50 : 286,621.50 = 286,621.50 : x
  2. Step 2: Convert to fraction form
    132,745.50/286,621.50 = 286,621.50/x
  3. Step 3: Cross multiply
    132,745.50x = 286,621.50 × 286,621.50
  4. Step 4: Simplify right side
    132,745.50x = 82,151,884,262.25
  5. Step 5: Solve for x
    x = 82,151,884,262.25/132,745.50
  6. Step 6: Final answer
    x = 618,867.56

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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.