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Finding the Third Proportional to 140,176 and 209,683

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Solution

The third proportional to 140,176 and 209,683 is: 313,655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,176 : 209,683 = 209,683 : x
  2. Step 2: Convert to fraction form
    140,176/209,683 = 209,683/x
  3. Step 3: Cross multiply
    140,176x = 209,683 × 209,683
  4. Step 4: Simplify right side
    140,176x = 43,966,960,489
  5. Step 5: Solve for x
    x = 43,966,960,489/140,176
  6. Step 6: Final answer
    x = 313,655.41

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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.