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Finding the Third Proportional to 193,076 and 298,956

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Solution

The third proportional to 193,076 and 298,956 is: 462,899.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,076 : 298,956 = 298,956 : x
  2. Step 2: Convert to fraction form
    193,076/298,956 = 298,956/x
  3. Step 3: Cross multiply
    193,076x = 298,956 × 298,956
  4. Step 4: Simplify right side
    193,076x = 89,374,689,936
  5. Step 5: Solve for x
    x = 89,374,689,936/193,076
  6. Step 6: Final answer
    x = 462,899.01

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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.