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Finding the Third Proportional to 132,788 and 286,704

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Solution

The third proportional to 132,788 and 286,704 is: 619,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,788 : 286,704 = 286,704 : x
  2. Step 2: Convert to fraction form
    132,788/286,704 = 286,704/x
  3. Step 3: Cross multiply
    132,788x = 286,704 × 286,704
  4. Step 4: Simplify right side
    132,788x = 82,199,183,616
  5. Step 5: Solve for x
    x = 82,199,183,616/132,788
  6. Step 6: Final answer
    x = 619,025.69

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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.