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Finding the Third Proportional to 175,769 and 376,448

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Solution

The third proportional to 175,769 and 376,448 is: 806,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,769 : 376,448 = 376,448 : x
  2. Step 2: Convert to fraction form
    175,769/376,448 = 376,448/x
  3. Step 3: Cross multiply
    175,769x = 376,448 × 376,448
  4. Step 4: Simplify right side
    175,769x = 141,713,096,704
  5. Step 5: Solve for x
    x = 141,713,096,704/175,769
  6. Step 6: Final answer
    x = 806,246.25

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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.