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Finding the Third Proportional to 175,372.50 and 378,768

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Solution

The third proportional to 175,372.50 and 378,768 is: 818,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,372.50 : 378,768 = 378,768 : x
  2. Step 2: Convert to fraction form
    175,372.50/378,768 = 378,768/x
  3. Step 3: Cross multiply
    175,372.50x = 378,768 × 378,768
  4. Step 4: Simplify right side
    175,372.50x = 143,465,197,824
  5. Step 5: Solve for x
    x = 143,465,197,824/175,372.50
  6. Step 6: Final answer
    x = 818,059.83

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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.