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Finding the Third Proportional to 84,854 and 186,658

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Solution

The third proportional to 84,854 and 186,658 is: 410,601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,854 : 186,658 = 186,658 : x
  2. Step 2: Convert to fraction form
    84,854/186,658 = 186,658/x
  3. Step 3: Cross multiply
    84,854x = 186,658 × 186,658
  4. Step 4: Simplify right side
    84,854x = 34,841,208,964
  5. Step 5: Solve for x
    x = 34,841,208,964/84,854
  6. Step 6: Final answer
    x = 410,601.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.