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Finding the Third Proportional to 164,059.17 and 246,242.53

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Solution

The third proportional to 164,059.17 and 246,242.53 is: 369,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,059.17 : 246,242.53 = 246,242.53 : x
  2. Step 2: Convert to fraction form
    164,059.17/246,242.53 = 246,242.53/x
  3. Step 3: Cross multiply
    164,059.17x = 246,242.53 × 246,242.53
  4. Step 4: Simplify right side
    164,059.17x = 60,635,384,196.41
  5. Step 5: Solve for x
    x = 60,635,384,196.41/164,059.17
  6. Step 6: Final answer
    x = 369,594.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.