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Finding the Third Proportional to 193,461 and 298,941

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Solution

The third proportional to 193,461 and 298,941 is: 461,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,461 : 298,941 = 298,941 : x
  2. Step 2: Convert to fraction form
    193,461/298,941 = 298,941/x
  3. Step 3: Cross multiply
    193,461x = 298,941 × 298,941
  4. Step 4: Simplify right side
    193,461x = 89,365,721,481
  5. Step 5: Solve for x
    x = 89,365,721,481/193,461
  6. Step 6: Final answer
    x = 461,931.46

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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.