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Finding the Third Proportional to 84,386 and 183,892

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Solution

The third proportional to 84,386 and 183,892 is: 400,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,386 : 183,892 = 183,892 : x
  2. Step 2: Convert to fraction form
    84,386/183,892 = 183,892/x
  3. Step 3: Cross multiply
    84,386x = 183,892 × 183,892
  4. Step 4: Simplify right side
    84,386x = 33,816,267,664
  5. Step 5: Solve for x
    x = 33,816,267,664/84,386
  6. Step 6: Final answer
    x = 400,733.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.