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Finding the Third Proportional to 146,104.50 and 341,356.13

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Solution

The third proportional to 146,104.50 and 341,356.13 is: 797,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,104.50 : 341,356.13 = 341,356.13 : x
  2. Step 2: Convert to fraction form
    146,104.50/341,356.13 = 341,356.13/x
  3. Step 3: Cross multiply
    146,104.50x = 341,356.13 × 341,356.13
  4. Step 4: Simplify right side
    146,104.50x = 116,524,004,075.02
  5. Step 5: Solve for x
    x = 116,524,004,075.02/146,104.50
  6. Step 6: Final answer
    x = 797,538.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.