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Finding the Third Proportional to 193,078 and 298,959

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Solution

The third proportional to 193,078 and 298,959 is: 462,903.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,078 : 298,959 = 298,959 : x
  2. Step 2: Convert to fraction form
    193,078/298,959 = 298,959/x
  3. Step 3: Cross multiply
    193,078x = 298,959 × 298,959
  4. Step 4: Simplify right side
    193,078x = 89,376,483,681
  5. Step 5: Solve for x
    x = 89,376,483,681/193,078
  6. Step 6: Final answer
    x = 462,903.51

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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.