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Finding the Third Proportional to 139,336 and 298,361

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Solution

The third proportional to 139,336 and 298,361 is: 638,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,336 : 298,361 = 298,361 : x
  2. Step 2: Convert to fraction form
    139,336/298,361 = 298,361/x
  3. Step 3: Cross multiply
    139,336x = 298,361 × 298,361
  4. Step 4: Simplify right side
    139,336x = 89,019,286,321
  5. Step 5: Solve for x
    x = 89,019,286,321/139,336
  6. Step 6: Final answer
    x = 638,882.17

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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.