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Finding the Third Proportional to 164,517 and 247,991.50

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Solution

The third proportional to 164,517 and 247,991.50 is: 373,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,517 : 247,991.50 = 247,991.50 : x
  2. Step 2: Convert to fraction form
    164,517/247,991.50 = 247,991.50/x
  3. Step 3: Cross multiply
    164,517x = 247,991.50 × 247,991.50
  4. Step 4: Simplify right side
    164,517x = 61,499,784,072.25
  5. Step 5: Solve for x
    x = 61,499,784,072.25/164,517
  6. Step 6: Final answer
    x = 373,820.24

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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.