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Finding the Third Proportional to 193,347 and 298,768.50

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Solution

The third proportional to 193,347 and 298,768.50 is: 461,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,347 : 298,768.50 = 298,768.50 : x
  2. Step 2: Convert to fraction form
    193,347/298,768.50 = 298,768.50/x
  3. Step 3: Cross multiply
    193,347x = 298,768.50 × 298,768.50
  4. Step 4: Simplify right side
    193,347x = 89,262,616,592.25
  5. Step 5: Solve for x
    x = 89,262,616,592.25/193,347
  6. Step 6: Final answer
    x = 461,670.55

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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.