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Finding the Third Proportional to 64,397 and 140,235.50

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Solution

The third proportional to 64,397 and 140,235.50 is: 305,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,397 : 140,235.50 = 140,235.50 : x
  2. Step 2: Convert to fraction form
    64,397/140,235.50 = 140,235.50/x
  3. Step 3: Cross multiply
    64,397x = 140,235.50 × 140,235.50
  4. Step 4: Simplify right side
    64,397x = 19,665,995,460.25
  5. Step 5: Solve for x
    x = 19,665,995,460.25/64,397
  6. Step 6: Final answer
    x = 305,386.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.