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Finding the Third Proportional to 152,886 and 207,615

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Solution

The third proportional to 152,886 and 207,615 is: 281,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,886 : 207,615 = 207,615 : x
  2. Step 2: Convert to fraction form
    152,886/207,615 = 207,615/x
  3. Step 3: Cross multiply
    152,886x = 207,615 × 207,615
  4. Step 4: Simplify right side
    152,886x = 43,103,988,225
  5. Step 5: Solve for x
    x = 43,103,988,225/152,886
  6. Step 6: Final answer
    x = 281,935.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.