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Finding the Third Proportional to 132,784 and 199,320

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Solution

The third proportional to 132,784 and 199,320 is: 299,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,784 : 199,320 = 199,320 : x
  2. Step 2: Convert to fraction form
    132,784/199,320 = 199,320/x
  3. Step 3: Cross multiply
    132,784x = 199,320 × 199,320
  4. Step 4: Simplify right side
    132,784x = 39,728,462,400
  5. Step 5: Solve for x
    x = 39,728,462,400/132,784
  6. Step 6: Final answer
    x = 299,196.16

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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.