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Finding the Third Proportional to 148,225.50 and 329,607

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Solution

The third proportional to 148,225.50 and 329,607 is: 732,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,225.50 : 329,607 = 329,607 : x
  2. Step 2: Convert to fraction form
    148,225.50/329,607 = 329,607/x
  3. Step 3: Cross multiply
    148,225.50x = 329,607 × 329,607
  4. Step 4: Simplify right side
    148,225.50x = 108,640,774,449
  5. Step 5: Solve for x
    x = 108,640,774,449/148,225.50
  6. Step 6: Final answer
    x = 732,942.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.