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Finding the Third Proportional to 175,531.50 and 264,843

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Solution

The third proportional to 175,531.50 and 264,843 is: 399,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,531.50 : 264,843 = 264,843 : x
  2. Step 2: Convert to fraction form
    175,531.50/264,843 = 264,843/x
  3. Step 3: Cross multiply
    175,531.50x = 264,843 × 264,843
  4. Step 4: Simplify right side
    175,531.50x = 70,141,814,649
  5. Step 5: Solve for x
    x = 70,141,814,649/175,531.50
  6. Step 6: Final answer
    x = 399,596.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.