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Finding the Third Proportional to 148,102.50 and 211,634.25

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Solution

The third proportional to 148,102.50 and 211,634.25 is: 302,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,102.50 : 211,634.25 = 211,634.25 : x
  2. Step 2: Convert to fraction form
    148,102.50/211,634.25 = 211,634.25/x
  3. Step 3: Cross multiply
    148,102.50x = 211,634.25 × 211,634.25
  4. Step 4: Simplify right side
    148,102.50x = 44,789,055,773.06
  5. Step 5: Solve for x
    x = 44,789,055,773.06/148,102.50
  6. Step 6: Final answer
    x = 302,419.31

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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.