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Finding the Third Proportional to 79,218 and 176,146

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Solution

The third proportional to 79,218 and 176,146 is: 391,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,218 : 176,146 = 176,146 : x
  2. Step 2: Convert to fraction form
    79,218/176,146 = 176,146/x
  3. Step 3: Cross multiply
    79,218x = 176,146 × 176,146
  4. Step 4: Simplify right side
    79,218x = 31,027,413,316
  5. Step 5: Solve for x
    x = 31,027,413,316/79,218
  6. Step 6: Final answer
    x = 391,671.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.