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Finding the Third Proportional to 140,517 and 210,778.50

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Solution

The third proportional to 140,517 and 210,778.50 is: 316,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,517 : 210,778.50 = 210,778.50 : x
  2. Step 2: Convert to fraction form
    140,517/210,778.50 = 210,778.50/x
  3. Step 3: Cross multiply
    140,517x = 210,778.50 × 210,778.50
  4. Step 4: Simplify right side
    140,517x = 44,427,576,062.25
  5. Step 5: Solve for x
    x = 44,427,576,062.25/140,517
  6. Step 6: Final answer
    x = 316,172.25

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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.