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Finding the Third Proportional to 231,629.63 and 369,896.63

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Solution

The third proportional to 231,629.63 and 369,896.63 is: 590,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,629.63 : 369,896.63 = 369,896.63 : x
  2. Step 2: Convert to fraction form
    231,629.63/369,896.63 = 369,896.63/x
  3. Step 3: Cross multiply
    231,629.63x = 369,896.63 × 369,896.63
  4. Step 4: Simplify right side
    231,629.63x = 136,823,513,186.39
  5. Step 5: Solve for x
    x = 136,823,513,186.39/231,629.63
  6. Step 6: Final answer
    x = 590,699.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.