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Finding the Third Proportional to 175,467.50 and 262,029.50

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Solution

The third proportional to 175,467.50 and 262,029.50 is: 391,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,467.50 : 262,029.50 = 262,029.50 : x
  2. Step 2: Convert to fraction form
    175,467.50/262,029.50 = 262,029.50/x
  3. Step 3: Cross multiply
    175,467.50x = 262,029.50 × 262,029.50
  4. Step 4: Simplify right side
    175,467.50x = 68,659,458,870.25
  5. Step 5: Solve for x
    x = 68,659,458,870.25/175,467.50
  6. Step 6: Final answer
    x = 391,294.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.