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Finding the Third Proportional to 132,615 and 286,408.13

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Solution

The third proportional to 132,615 and 286,408.13 is: 618,554.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,615 : 286,408.13 = 286,408.13 : x
  2. Step 2: Convert to fraction form
    132,615/286,408.13 = 286,408.13/x
  3. Step 3: Cross multiply
    132,615x = 286,408.13 × 286,408.13
  4. Step 4: Simplify right side
    132,615x = 82,029,614,066.02
  5. Step 5: Solve for x
    x = 82,029,614,066.02/132,615
  6. Step 6: Final answer
    x = 618,554.57

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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.