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Finding the Third Proportional to 177,650 and 378,316

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Solution

The third proportional to 177,650 and 378,316 is: 805,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,650 : 378,316 = 378,316 : x
  2. Step 2: Convert to fraction form
    177,650/378,316 = 378,316/x
  3. Step 3: Cross multiply
    177,650x = 378,316 × 378,316
  4. Step 4: Simplify right side
    177,650x = 143,122,995,856
  5. Step 5: Solve for x
    x = 143,122,995,856/177,650
  6. Step 6: Final answer
    x = 805,645.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.