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Finding the Third Proportional to 88,474 and 187,316

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Solution

The third proportional to 88,474 and 187,316 is: 396,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,474 : 187,316 = 187,316 : x
  2. Step 2: Convert to fraction form
    88,474/187,316 = 187,316/x
  3. Step 3: Cross multiply
    88,474x = 187,316 × 187,316
  4. Step 4: Simplify right side
    88,474x = 35,087,283,856
  5. Step 5: Solve for x
    x = 35,087,283,856/88,474
  6. Step 6: Final answer
    x = 396,582.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.