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Finding the Third Proportional to 175,597.88 and 378,847.13

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Solution

The third proportional to 175,597.88 and 378,847.13 is: 817,351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,597.88 : 378,847.13 = 378,847.13 : x
  2. Step 2: Convert to fraction form
    175,597.88/378,847.13 = 378,847.13/x
  3. Step 3: Cross multiply
    175,597.88x = 378,847.13 × 378,847.13
  4. Step 4: Simplify right side
    175,597.88x = 143,525,144,120.77
  5. Step 5: Solve for x
    x = 143,525,144,120.77/175,597.88
  6. Step 6: Final answer
    x = 817,351.26

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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.