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Finding the Third Proportional to 140,076 and 210,257.44

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Solution

The third proportional to 140,076 and 210,257.44 is: 315,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,076 : 210,257.44 = 210,257.44 : x
  2. Step 2: Convert to fraction form
    140,076/210,257.44 = 210,257.44/x
  3. Step 3: Cross multiply
    140,076x = 210,257.44 × 210,257.44
  4. Step 4: Simplify right side
    140,076x = 44,208,190,024.07
  5. Step 5: Solve for x
    x = 44,208,190,024.07/140,076
  6. Step 6: Final answer
    x = 315,601.46

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