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Finding the Third Proportional to 164,440.13 and 251,034.19

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Solution

The third proportional to 164,440.13 and 251,034.19 is: 383,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,440.13 : 251,034.19 = 251,034.19 : x
  2. Step 2: Convert to fraction form
    164,440.13/251,034.19 = 251,034.19/x
  3. Step 3: Cross multiply
    164,440.13x = 251,034.19 × 251,034.19
  4. Step 4: Simplify right side
    164,440.13x = 63,018,163,293.79
  5. Step 5: Solve for x
    x = 63,018,163,293.79/164,440.13
  6. Step 6: Final answer
    x = 383,228.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.