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Finding the Third Proportional to 176,962 and 383,443

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Solution

The third proportional to 176,962 and 383,443 is: 830,848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,962 : 383,443 = 383,443 : x
  2. Step 2: Convert to fraction form
    176,962/383,443 = 383,443/x
  3. Step 3: Cross multiply
    176,962x = 383,443 × 383,443
  4. Step 4: Simplify right side
    176,962x = 147,028,534,249
  5. Step 5: Solve for x
    x = 147,028,534,249/176,962
  6. Step 6: Final answer
    x = 830,848.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.