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Finding the Third Proportional to 148,821.75 and 351,243

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Solution

The third proportional to 148,821.75 and 351,243 is: 828,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,821.75 : 351,243 = 351,243 : x
  2. Step 2: Convert to fraction form
    148,821.75/351,243 = 351,243/x
  3. Step 3: Cross multiply
    148,821.75x = 351,243 × 351,243
  4. Step 4: Simplify right side
    148,821.75x = 123,371,645,049
  5. Step 5: Solve for x
    x = 123,371,645,049/148,821.75
  6. Step 6: Final answer
    x = 828,989.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.