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Finding the Third Proportional to 132,926.50 and 286,723.75

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Solution

The third proportional to 132,926.50 and 286,723.75 is: 618,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,926.50 : 286,723.75 = 286,723.75 : x
  2. Step 2: Convert to fraction form
    132,926.50/286,723.75 = 286,723.75/x
  3. Step 3: Cross multiply
    132,926.50x = 286,723.75 × 286,723.75
  4. Step 4: Simplify right side
    132,926.50x = 82,210,508,814.06
  5. Step 5: Solve for x
    x = 82,210,508,814.06/132,926.50
  6. Step 6: Final answer
    x = 618,465.91

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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.