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Finding the Third Proportional to 148,998 and 351,409

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Solution

The third proportional to 148,998 and 351,409 is: 828,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,998 : 351,409 = 351,409 : x
  2. Step 2: Convert to fraction form
    148,998/351,409 = 351,409/x
  3. Step 3: Cross multiply
    148,998x = 351,409 × 351,409
  4. Step 4: Simplify right side
    148,998x = 123,488,285,281
  5. Step 5: Solve for x
    x = 123,488,285,281/148,998
  6. Step 6: Final answer
    x = 828,791.56

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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.