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Finding the Third Proportional to 175,311 and 378,301.13

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Solution

The third proportional to 175,311 and 378,301.13 is: 816,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,311 : 378,301.13 = 378,301.13 : x
  2. Step 2: Convert to fraction form
    175,311/378,301.13 = 378,301.13/x
  3. Step 3: Cross multiply
    175,311x = 378,301.13 × 378,301.13
  4. Step 4: Simplify right side
    175,311x = 143,111,741,176.27
  5. Step 5: Solve for x
    x = 143,111,741,176.27/175,311
  6. Step 6: Final answer
    x = 816,330.64

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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.