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Finding the Third Proportional to 169,573.50 and 233,598.94

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Solution

The third proportional to 169,573.50 and 233,598.94 is: 321,798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,573.50 : 233,598.94 = 233,598.94 : x
  2. Step 2: Convert to fraction form
    169,573.50/233,598.94 = 233,598.94/x
  3. Step 3: Cross multiply
    169,573.50x = 233,598.94 × 233,598.94
  4. Step 4: Simplify right side
    169,573.50x = 54,568,463,601.13
  5. Step 5: Solve for x
    x = 54,568,463,601.13/169,573.50
  6. Step 6: Final answer
    x = 321,798.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.