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Finding the Third Proportional to 193,490 and 298,861

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Solution

The third proportional to 193,490 and 298,861 is: 461,615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,490 : 298,861 = 298,861 : x
  2. Step 2: Convert to fraction form
    193,490/298,861 = 298,861/x
  3. Step 3: Cross multiply
    193,490x = 298,861 × 298,861
  4. Step 4: Simplify right side
    193,490x = 89,317,897,321
  5. Step 5: Solve for x
    x = 89,317,897,321/193,490
  6. Step 6: Final answer
    x = 461,615.06

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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.