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Finding the Third Proportional to 174,293.44 and 369,513.56

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Solution

The third proportional to 174,293.44 and 369,513.56 is: 783,393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,293.44 : 369,513.56 = 369,513.56 : x
  2. Step 2: Convert to fraction form
    174,293.44/369,513.56 = 369,513.56/x
  3. Step 3: Cross multiply
    174,293.44x = 369,513.56 × 369,513.56
  4. Step 4: Simplify right side
    174,293.44x = 136,540,272,871.44
  5. Step 5: Solve for x
    x = 136,540,272,871.44/174,293.44
  6. Step 6: Final answer
    x = 783,393.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.