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Finding the Third Proportional to 176,511 and 378,294

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Solution

The third proportional to 176,511 and 378,294 is: 810,750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,511 : 378,294 = 378,294 : x
  2. Step 2: Convert to fraction form
    176,511/378,294 = 378,294/x
  3. Step 3: Cross multiply
    176,511x = 378,294 × 378,294
  4. Step 4: Simplify right side
    176,511x = 143,106,350,436
  5. Step 5: Solve for x
    x = 143,106,350,436/176,511
  6. Step 6: Final answer
    x = 810,750.32

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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.