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Finding the Third Proportional to 193,510 and 298,887

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Solution

The third proportional to 193,510 and 298,887 is: 461,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,510 : 298,887 = 298,887 : x
  2. Step 2: Convert to fraction form
    193,510/298,887 = 298,887/x
  3. Step 3: Cross multiply
    193,510x = 298,887 × 298,887
  4. Step 4: Simplify right side
    193,510x = 89,333,438,769
  5. Step 5: Solve for x
    x = 89,333,438,769/193,510
  6. Step 6: Final answer
    x = 461,647.66

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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.