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Finding the Third Proportional to 148,600.50 and 323,713.50

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Solution

The third proportional to 148,600.50 and 323,713.50 is: 705,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,600.50 : 323,713.50 = 323,713.50 : x
  2. Step 2: Convert to fraction form
    148,600.50/323,713.50 = 323,713.50/x
  3. Step 3: Cross multiply
    148,600.50x = 323,713.50 × 323,713.50
  4. Step 4: Simplify right side
    148,600.50x = 104,790,430,082.25
  5. Step 5: Solve for x
    x = 104,790,430,082.25/148,600.50
  6. Step 6: Final answer
    x = 705,182.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.