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Finding the Third Proportional to 127,962 and 298,935

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Solution

The third proportional to 127,962 and 298,935 is: 698,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,962 : 298,935 = 298,935 : x
  2. Step 2: Convert to fraction form
    127,962/298,935 = 298,935/x
  3. Step 3: Cross multiply
    127,962x = 298,935 × 298,935
  4. Step 4: Simplify right side
    127,962x = 89,362,134,225
  5. Step 5: Solve for x
    x = 89,362,134,225/127,962
  6. Step 6: Final answer
    x = 698,349.00

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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.