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Finding the Third Proportional to 185,424 and 248,611.50

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Solution

The third proportional to 185,424 and 248,611.50 is: 333,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,424 : 248,611.50 = 248,611.50 : x
  2. Step 2: Convert to fraction form
    185,424/248,611.50 = 248,611.50/x
  3. Step 3: Cross multiply
    185,424x = 248,611.50 × 248,611.50
  4. Step 4: Simplify right side
    185,424x = 61,807,677,932.25
  5. Step 5: Solve for x
    x = 61,807,677,932.25/185,424
  6. Step 6: Final answer
    x = 333,331.60

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.