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Finding the Third Proportional to 148,446 and 323,533.50

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Solution

The third proportional to 148,446 and 323,533.50 is: 705,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,446 : 323,533.50 = 323,533.50 : x
  2. Step 2: Convert to fraction form
    148,446/323,533.50 = 323,533.50/x
  3. Step 3: Cross multiply
    148,446x = 323,533.50 × 323,533.50
  4. Step 4: Simplify right side
    148,446x = 104,673,925,622.25
  5. Step 5: Solve for x
    x = 104,673,925,622.25/148,446
  6. Step 6: Final answer
    x = 705,131.33

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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.