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Finding the Third Proportional to 176,837 and 361,845

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Solution

The third proportional to 176,837 and 361,845 is: 740,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,837 : 361,845 = 361,845 : x
  2. Step 2: Convert to fraction form
    176,837/361,845 = 361,845/x
  3. Step 3: Cross multiply
    176,837x = 361,845 × 361,845
  4. Step 4: Simplify right side
    176,837x = 130,931,804,025
  5. Step 5: Solve for x
    x = 130,931,804,025/176,837
  6. Step 6: Final answer
    x = 740,409.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.