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Finding the Third Proportional to 82,316 and 176,330

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Solution

The third proportional to 82,316 and 176,330 is: 377,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,316 : 176,330 = 176,330 : x
  2. Step 2: Convert to fraction form
    82,316/176,330 = 176,330/x
  3. Step 3: Cross multiply
    82,316x = 176,330 × 176,330
  4. Step 4: Simplify right side
    82,316x = 31,092,268,900
  5. Step 5: Solve for x
    x = 31,092,268,900/82,316
  6. Step 6: Final answer
    x = 377,718.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.