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Finding the Third Proportional to 148,110.50 and 211,650

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Solution

The third proportional to 148,110.50 and 211,650 is: 302,447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,110.50 : 211,650 = 211,650 : x
  2. Step 2: Convert to fraction form
    148,110.50/211,650 = 211,650/x
  3. Step 3: Cross multiply
    148,110.50x = 211,650 × 211,650
  4. Step 4: Simplify right side
    148,110.50x = 44,795,722,500
  5. Step 5: Solve for x
    x = 44,795,722,500/148,110.50
  6. Step 6: Final answer
    x = 302,447.99

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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.