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Finding the Third Proportional to 193,968 and 299,520

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Solution

The third proportional to 193,968 and 299,520 is: 462,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,968 : 299,520 = 299,520 : x
  2. Step 2: Convert to fraction form
    193,968/299,520 = 299,520/x
  3. Step 3: Cross multiply
    193,968x = 299,520 × 299,520
  4. Step 4: Simplify right side
    193,968x = 89,712,230,400
  5. Step 5: Solve for x
    x = 89,712,230,400/193,968
  6. Step 6: Final answer
    x = 462,510.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.