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Finding the Third Proportional to 136,236 and 298,584

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Solution

The third proportional to 136,236 and 298,584 is: 654,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,236 : 298,584 = 298,584 : x
  2. Step 2: Convert to fraction form
    136,236/298,584 = 298,584/x
  3. Step 3: Cross multiply
    136,236x = 298,584 × 298,584
  4. Step 4: Simplify right side
    136,236x = 89,152,405,056
  5. Step 5: Solve for x
    x = 89,152,405,056/136,236
  6. Step 6: Final answer
    x = 654,396.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.