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Finding the Third Proportional to 138,554 and 298,300

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Solution

The third proportional to 138,554 and 298,300 is: 642,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,554 : 298,300 = 298,300 : x
  2. Step 2: Convert to fraction form
    138,554/298,300 = 298,300/x
  3. Step 3: Cross multiply
    138,554x = 298,300 × 298,300
  4. Step 4: Simplify right side
    138,554x = 88,982,890,000
  5. Step 5: Solve for x
    x = 88,982,890,000/138,554
  6. Step 6: Final answer
    x = 642,225.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.