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Finding the Third Proportional to 84,364.50 and 183,491

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Solution

The third proportional to 84,364.50 and 183,491 is: 399,089.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,364.50 : 183,491 = 183,491 : x
  2. Step 2: Convert to fraction form
    84,364.50/183,491 = 183,491/x
  3. Step 3: Cross multiply
    84,364.50x = 183,491 × 183,491
  4. Step 4: Simplify right side
    84,364.50x = 33,668,947,081
  5. Step 5: Solve for x
    x = 33,668,947,081/84,364.50
  6. Step 6: Final answer
    x = 399,089.04

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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.