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Finding the Third Proportional to 175,506.75 and 378,373.78

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Solution

The third proportional to 175,506.75 and 378,373.78 is: 815,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,506.75 : 378,373.78 = 378,373.78 : x
  2. Step 2: Convert to fraction form
    175,506.75/378,373.78 = 378,373.78/x
  3. Step 3: Cross multiply
    175,506.75x = 378,373.78 × 378,373.78
  4. Step 4: Simplify right side
    175,506.75x = 143,166,718,337.42
  5. Step 5: Solve for x
    x = 143,166,718,337.42/175,506.75
  6. Step 6: Final answer
    x = 815,733.40

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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.