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Finding the Third Proportional to 175,378.61 and 379,359.07

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Solution

The third proportional to 175,378.61 and 379,359.07 is: 820,586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,378.61 : 379,359.07 = 379,359.07 : x
  2. Step 2: Convert to fraction form
    175,378.61/379,359.07 = 379,359.07/x
  3. Step 3: Cross multiply
    175,378.61x = 379,359.07 × 379,359.07
  4. Step 4: Simplify right side
    175,378.61x = 143,913,304,228.36
  5. Step 5: Solve for x
    x = 143,913,304,228.36/175,378.61
  6. Step 6: Final answer
    x = 820,586.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.