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Finding the Third Proportional to 140,904.52 and 248,334.49

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Solution

The third proportional to 140,904.52 and 248,334.49 is: 437,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,904.52 : 248,334.49 = 248,334.49 : x
  2. Step 2: Convert to fraction form
    140,904.52/248,334.49 = 248,334.49/x
  3. Step 3: Cross multiply
    140,904.52x = 248,334.49 × 248,334.49
  4. Step 4: Simplify right side
    140,904.52x = 61,670,019,282.49
  5. Step 5: Solve for x
    x = 61,670,019,282.49/140,904.52
  6. Step 6: Final answer
    x = 437,672.39

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.