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Finding the Third Proportional to 175,575 and 379,175

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Solution

The third proportional to 175,575 and 379,175 is: 818,873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,575 : 379,175 = 379,175 : x
  2. Step 2: Convert to fraction form
    175,575/379,175 = 379,175/x
  3. Step 3: Cross multiply
    175,575x = 379,175 × 379,175
  4. Step 4: Simplify right side
    175,575x = 143,773,680,625
  5. Step 5: Solve for x
    x = 143,773,680,625/175,575
  6. Step 6: Final answer
    x = 818,873.31

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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.