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Finding the Third Proportional to 176,948 and 246,652

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Solution

The third proportional to 176,948 and 246,652 is: 343,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,948 : 246,652 = 246,652 : x
  2. Step 2: Convert to fraction form
    176,948/246,652 = 246,652/x
  3. Step 3: Cross multiply
    176,948x = 246,652 × 246,652
  4. Step 4: Simplify right side
    176,948x = 60,837,209,104
  5. Step 5: Solve for x
    x = 60,837,209,104/176,948
  6. Step 6: Final answer
    x = 343,814.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.