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Finding the Third Proportional to 84,496 and 183,590

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Solution

The third proportional to 84,496 and 183,590 is: 398,898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,496 : 183,590 = 183,590 : x
  2. Step 2: Convert to fraction form
    84,496/183,590 = 183,590/x
  3. Step 3: Cross multiply
    84,496x = 183,590 × 183,590
  4. Step 4: Simplify right side
    84,496x = 33,705,288,100
  5. Step 5: Solve for x
    x = 33,705,288,100/84,496
  6. Step 6: Final answer
    x = 398,898.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.