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Finding the Third Proportional to 175,219.88 and 266,293.41

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Solution

The third proportional to 175,219.88 and 266,293.41 is: 404,703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,219.88 : 266,293.41 = 266,293.41 : x
  2. Step 2: Convert to fraction form
    175,219.88/266,293.41 = 266,293.41/x
  3. Step 3: Cross multiply
    175,219.88x = 266,293.41 × 266,293.41
  4. Step 4: Simplify right side
    175,219.88x = 70,912,178,212.23
  5. Step 5: Solve for x
    x = 70,912,178,212.23/175,219.88
  6. Step 6: Final answer
    x = 404,703.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.