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Finding the Third Proportional to 132,303 and 199,683

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Solution

The third proportional to 132,303 and 199,683 is: 301,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,303 : 199,683 = 199,683 : x
  2. Step 2: Convert to fraction form
    132,303/199,683 = 199,683/x
  3. Step 3: Cross multiply
    132,303x = 199,683 × 199,683
  4. Step 4: Simplify right side
    132,303x = 39,873,300,489
  5. Step 5: Solve for x
    x = 39,873,300,489/132,303
  6. Step 6: Final answer
    x = 301,378.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.