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Finding the Third Proportional to 193,374 and 298,810

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Solution

The third proportional to 193,374 and 298,810 is: 461,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,374 : 298,810 = 298,810 : x
  2. Step 2: Convert to fraction form
    193,374/298,810 = 298,810/x
  3. Step 3: Cross multiply
    193,374x = 298,810 × 298,810
  4. Step 4: Simplify right side
    193,374x = 89,287,416,100
  5. Step 5: Solve for x
    x = 89,287,416,100/193,374
  6. Step 6: Final answer
    x = 461,734.34

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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.