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Finding the Third Proportional to 188,642 and 282,963

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Solution

The third proportional to 188,642 and 282,963 is: 424,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,642 : 282,963 = 282,963 : x
  2. Step 2: Convert to fraction form
    188,642/282,963 = 282,963/x
  3. Step 3: Cross multiply
    188,642x = 282,963 × 282,963
  4. Step 4: Simplify right side
    188,642x = 80,068,059,369
  5. Step 5: Solve for x
    x = 80,068,059,369/188,642
  6. Step 6: Final answer
    x = 424,444.50

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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.