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Finding the Third Proportional to 95,324 and 207,248

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Solution

The third proportional to 95,324 and 207,248 is: 450,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,324 : 207,248 = 207,248 : x
  2. Step 2: Convert to fraction form
    95,324/207,248 = 207,248/x
  3. Step 3: Cross multiply
    95,324x = 207,248 × 207,248
  4. Step 4: Simplify right side
    95,324x = 42,951,733,504
  5. Step 5: Solve for x
    x = 42,951,733,504/95,324
  6. Step 6: Final answer
    x = 450,586.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.