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Finding the Third Proportional to 176,674.50 and 386,993

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Solution

The third proportional to 176,674.50 and 386,993 is: 847,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,674.50 : 386,993 = 386,993 : x
  2. Step 2: Convert to fraction form
    176,674.50/386,993 = 386,993/x
  3. Step 3: Cross multiply
    176,674.50x = 386,993 × 386,993
  4. Step 4: Simplify right side
    176,674.50x = 149,763,582,049
  5. Step 5: Solve for x
    x = 149,763,582,049/176,674.50
  6. Step 6: Final answer
    x = 847,680.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.