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Finding the Third Proportional to 146,674.13 and 353,224.13

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Solution

The third proportional to 146,674.13 and 353,224.13 is: 850,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,674.13 : 353,224.13 = 353,224.13 : x
  2. Step 2: Convert to fraction form
    146,674.13/353,224.13 = 353,224.13/x
  3. Step 3: Cross multiply
    146,674.13x = 353,224.13 × 353,224.13
  4. Step 4: Simplify right side
    146,674.13x = 124,767,282,482.02
  5. Step 5: Solve for x
    x = 124,767,282,482.02/146,674.13
  6. Step 6: Final answer
    x = 850,642.76

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.