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Finding the Third Proportional to 127,964 and 298,940

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Solution

The third proportional to 127,964 and 298,940 is: 698,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,964 : 298,940 = 298,940 : x
  2. Step 2: Convert to fraction form
    127,964/298,940 = 298,940/x
  3. Step 3: Cross multiply
    127,964x = 298,940 × 298,940
  4. Step 4: Simplify right side
    127,964x = 89,365,123,600
  5. Step 5: Solve for x
    x = 89,365,123,600/127,964
  6. Step 6: Final answer
    x = 698,361.44

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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.