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Finding the Third Proportional to 193,010 and 298,264

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Solution

The third proportional to 193,010 and 298,264 is: 460,916.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,010 : 298,264 = 298,264 : x
  2. Step 2: Convert to fraction form
    193,010/298,264 = 298,264/x
  3. Step 3: Cross multiply
    193,010x = 298,264 × 298,264
  4. Step 4: Simplify right side
    193,010x = 88,961,413,696
  5. Step 5: Solve for x
    x = 88,961,413,696/193,010
  6. Step 6: Final answer
    x = 460,916.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.