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Finding the Third Proportional to 138,672 and 298,090

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Solution

The third proportional to 138,672 and 298,090 is: 640,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,672 : 298,090 = 298,090 : x
  2. Step 2: Convert to fraction form
    138,672/298,090 = 298,090/x
  3. Step 3: Cross multiply
    138,672x = 298,090 × 298,090
  4. Step 4: Simplify right side
    138,672x = 88,857,648,100
  5. Step 5: Solve for x
    x = 88,857,648,100/138,672
  6. Step 6: Final answer
    x = 640,775.70

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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.