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Finding the Third Proportional to 127,970 and 298,955

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Solution

The third proportional to 127,970 and 298,955 is: 698,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,970 : 298,955 = 298,955 : x
  2. Step 2: Convert to fraction form
    127,970/298,955 = 298,955/x
  3. Step 3: Cross multiply
    127,970x = 298,955 × 298,955
  4. Step 4: Simplify right side
    127,970x = 89,374,092,025
  5. Step 5: Solve for x
    x = 89,374,092,025/127,970
  6. Step 6: Final answer
    x = 698,398.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.