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Finding the Third Proportional to 84,984 and 186,748

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Solution

The third proportional to 84,984 and 186,748 is: 410,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,984 : 186,748 = 186,748 : x
  2. Step 2: Convert to fraction form
    84,984/186,748 = 186,748/x
  3. Step 3: Cross multiply
    84,984x = 186,748 × 186,748
  4. Step 4: Simplify right side
    84,984x = 34,874,815,504
  5. Step 5: Solve for x
    x = 34,874,815,504/84,984
  6. Step 6: Final answer
    x = 410,369.19

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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.