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Finding the Third Proportional to 139,179 and 298,032

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Solution

The third proportional to 139,179 and 298,032 is: 638,193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,179 : 298,032 = 298,032 : x
  2. Step 2: Convert to fraction form
    139,179/298,032 = 298,032/x
  3. Step 3: Cross multiply
    139,179x = 298,032 × 298,032
  4. Step 4: Simplify right side
    139,179x = 88,823,073,024
  5. Step 5: Solve for x
    x = 88,823,073,024/139,179
  6. Step 6: Final answer
    x = 638,193.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.