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Finding the Third Proportional to 148,971.75 and 340,350.38

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Solution

The third proportional to 148,971.75 and 340,350.38 is: 777,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,971.75 : 340,350.38 = 340,350.38 : x
  2. Step 2: Convert to fraction form
    148,971.75/340,350.38 = 340,350.38/x
  3. Step 3: Cross multiply
    148,971.75x = 340,350.38 × 340,350.38
  4. Step 4: Simplify right side
    148,971.75x = 115,838,377,762.64
  5. Step 5: Solve for x
    x = 115,838,377,762.64/148,971.75
  6. Step 6: Final answer
    x = 777,586.21

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.