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Finding the Third Proportional to 176,513 and 378,298

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Solution

The third proportional to 176,513 and 378,298 is: 810,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,513 : 378,298 = 378,298 : x
  2. Step 2: Convert to fraction form
    176,513/378,298 = 378,298/x
  3. Step 3: Cross multiply
    176,513x = 378,298 × 378,298
  4. Step 4: Simplify right side
    176,513x = 143,109,376,804
  5. Step 5: Solve for x
    x = 143,109,376,804/176,513
  6. Step 6: Final answer
    x = 810,758.28

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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.