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Finding the Third Proportional to 176,608 and 378,468

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Solution

The third proportional to 176,608 and 378,468 is: 811,050.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,608 : 378,468 = 378,468 : x
  2. Step 2: Convert to fraction form
    176,608/378,468 = 378,468/x
  3. Step 3: Cross multiply
    176,608x = 378,468 × 378,468
  4. Step 4: Simplify right side
    176,608x = 143,238,027,024
  5. Step 5: Solve for x
    x = 143,238,027,024/176,608
  6. Step 6: Final answer
    x = 811,050.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.