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Finding the Third Proportional to 84,866 and 186,040

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Solution

The third proportional to 84,866 and 186,040 is: 407,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,866 : 186,040 = 186,040 : x
  2. Step 2: Convert to fraction form
    84,866/186,040 = 186,040/x
  3. Step 3: Cross multiply
    84,866x = 186,040 × 186,040
  4. Step 4: Simplify right side
    84,866x = 34,610,881,600
  5. Step 5: Solve for x
    x = 34,610,881,600/84,866
  6. Step 6: Final answer
    x = 407,829.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.