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Finding the Third Proportional to 172,624.50 and 262,541.25

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Solution

The third proportional to 172,624.50 and 262,541.25 is: 399,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,624.50 : 262,541.25 = 262,541.25 : x
  2. Step 2: Convert to fraction form
    172,624.50/262,541.25 = 262,541.25/x
  3. Step 3: Cross multiply
    172,624.50x = 262,541.25 × 262,541.25
  4. Step 4: Simplify right side
    172,624.50x = 68,927,907,951.56
  5. Step 5: Solve for x
    x = 68,927,907,951.56/172,624.50
  6. Step 6: Final answer
    x = 399,293.89

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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.