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Finding the Third Proportional to 173,521.50 and 262,470

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Solution

The third proportional to 173,521.50 and 262,470 is: 397,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,521.50 : 262,470 = 262,470 : x
  2. Step 2: Convert to fraction form
    173,521.50/262,470 = 262,470/x
  3. Step 3: Cross multiply
    173,521.50x = 262,470 × 262,470
  4. Step 4: Simplify right side
    173,521.50x = 68,890,500,900
  5. Step 5: Solve for x
    x = 68,890,500,900/173,521.50
  6. Step 6: Final answer
    x = 397,014.21

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