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Finding the Third Proportional to 176,297 and 380,647

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Solution

The third proportional to 176,297 and 380,647 is: 821,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,297 : 380,647 = 380,647 : x
  2. Step 2: Convert to fraction form
    176,297/380,647 = 380,647/x
  3. Step 3: Cross multiply
    176,297x = 380,647 × 380,647
  4. Step 4: Simplify right side
    176,297x = 144,892,138,609
  5. Step 5: Solve for x
    x = 144,892,138,609/176,297
  6. Step 6: Final answer
    x = 821,863.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.