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Finding the Third Proportional to 138,160 and 298,100

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Solution

The third proportional to 138,160 and 298,100 is: 643,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,160 : 298,100 = 298,100 : x
  2. Step 2: Convert to fraction form
    138,160/298,100 = 298,100/x
  3. Step 3: Cross multiply
    138,160x = 298,100 × 298,100
  4. Step 4: Simplify right side
    138,160x = 88,863,610,000
  5. Step 5: Solve for x
    x = 88,863,610,000/138,160
  6. Step 6: Final answer
    x = 643,193.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.