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Finding the Third Proportional to 164,439 and 245,999.25

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Solution

The third proportional to 164,439 and 245,999.25 is: 368,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,439 : 245,999.25 = 245,999.25 : x
  2. Step 2: Convert to fraction form
    164,439/245,999.25 = 245,999.25/x
  3. Step 3: Cross multiply
    164,439x = 245,999.25 × 245,999.25
  4. Step 4: Simplify right side
    164,439x = 60,515,631,000.56
  5. Step 5: Solve for x
    x = 60,515,631,000.56/164,439
  6. Step 6: Final answer
    x = 368,012.64

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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.