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Finding the Third Proportional to 176,768 and 384,272

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Solution

The third proportional to 176,768 and 384,272 is: 835,360.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,768 : 384,272 = 384,272 : x
  2. Step 2: Convert to fraction form
    176,768/384,272 = 384,272/x
  3. Step 3: Cross multiply
    176,768x = 384,272 × 384,272
  4. Step 4: Simplify right side
    176,768x = 147,664,969,984
  5. Step 5: Solve for x
    x = 147,664,969,984/176,768
  6. Step 6: Final answer
    x = 835,360.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.