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Finding the Third Proportional to 148,047.75 and 210,999.94

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Solution

The third proportional to 148,047.75 and 210,999.94 is: 300,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,047.75 : 210,999.94 = 210,999.94 : x
  2. Step 2: Convert to fraction form
    148,047.75/210,999.94 = 210,999.94/x
  3. Step 3: Cross multiply
    148,047.75x = 210,999.94 × 210,999.94
  4. Step 4: Simplify right side
    148,047.75x = 44,520,973,625.00
  5. Step 5: Solve for x
    x = 44,520,973,625.00/148,047.75
  6. Step 6: Final answer
    x = 300,720.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.