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Finding the Third Proportional to 253,829.63 and 336,935.63

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Solution

The third proportional to 253,829.63 and 336,935.63 is: 447,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,829.63 : 336,935.63 = 336,935.63 : x
  2. Step 2: Convert to fraction form
    253,829.63/336,935.63 = 336,935.63/x
  3. Step 3: Cross multiply
    253,829.63x = 336,935.63 × 336,935.63
  4. Step 4: Simplify right side
    253,829.63x = 113,525,615,394.14
  5. Step 5: Solve for x
    x = 113,525,615,394.14/253,829.63
  6. Step 6: Final answer
    x = 447,251.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.