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Finding the Third Proportional to 193,152 and 298,468

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Solution

The third proportional to 193,152 and 298,468 is: 461,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,152 : 298,468 = 298,468 : x
  2. Step 2: Convert to fraction form
    193,152/298,468 = 298,468/x
  3. Step 3: Cross multiply
    193,152x = 298,468 × 298,468
  4. Step 4: Simplify right side
    193,152x = 89,083,147,024
  5. Step 5: Solve for x
    x = 89,083,147,024/193,152
  6. Step 6: Final answer
    x = 461,207.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.