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Finding the Third Proportional to 175,924 and 378,052

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Solution

The third proportional to 175,924 and 378,052 is: 812,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,924 : 378,052 = 378,052 : x
  2. Step 2: Convert to fraction form
    175,924/378,052 = 378,052/x
  3. Step 3: Cross multiply
    175,924x = 378,052 × 378,052
  4. Step 4: Simplify right side
    175,924x = 142,923,314,704
  5. Step 5: Solve for x
    x = 142,923,314,704/175,924
  6. Step 6: Final answer
    x = 812,415.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.