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Finding the Third Proportional to 84,167 and 181,453

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Solution

The third proportional to 84,167 and 181,453 is: 391,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,167 : 181,453 = 181,453 : x
  2. Step 2: Convert to fraction form
    84,167/181,453 = 181,453/x
  3. Step 3: Cross multiply
    84,167x = 181,453 × 181,453
  4. Step 4: Simplify right side
    84,167x = 32,925,191,209
  5. Step 5: Solve for x
    x = 32,925,191,209/84,167
  6. Step 6: Final answer
    x = 391,188.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.