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Finding the Third Proportional to 84,841.50 and 176,668

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Solution

The third proportional to 84,841.50 and 176,668 is: 367,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,841.50 : 176,668 = 176,668 : x
  2. Step 2: Convert to fraction form
    84,841.50/176,668 = 176,668/x
  3. Step 3: Cross multiply
    84,841.50x = 176,668 × 176,668
  4. Step 4: Simplify right side
    84,841.50x = 31,211,582,224
  5. Step 5: Solve for x
    x = 31,211,582,224/84,841.50
  6. Step 6: Final answer
    x = 367,881.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.