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Finding the Third Proportional to 127,260 and 274,189.50

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Solution

The third proportional to 127,260 and 274,189.50 is: 590,758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,260 : 274,189.50 = 274,189.50 : x
  2. Step 2: Convert to fraction form
    127,260/274,189.50 = 274,189.50/x
  3. Step 3: Cross multiply
    127,260x = 274,189.50 × 274,189.50
  4. Step 4: Simplify right side
    127,260x = 75,179,881,910.25
  5. Step 5: Solve for x
    x = 75,179,881,910.25/127,260
  6. Step 6: Final answer
    x = 590,758.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.