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Finding the Third Proportional to 173,137.50 and 265,948.31

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Solution

The third proportional to 173,137.50 and 265,948.31 is: 408,510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,137.50 : 265,948.31 = 265,948.31 : x
  2. Step 2: Convert to fraction form
    173,137.50/265,948.31 = 265,948.31/x
  3. Step 3: Cross multiply
    173,137.50x = 265,948.31 × 265,948.31
  4. Step 4: Simplify right side
    173,137.50x = 70,728,504,921.60
  5. Step 5: Solve for x
    x = 70,728,504,921.60/173,137.50
  6. Step 6: Final answer
    x = 408,510.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.