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Finding the Third Proportional to 122,304.94 and 194,574.66

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Solution

The third proportional to 122,304.94 and 194,574.66 is: 309,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,304.94 : 194,574.66 = 194,574.66 : x
  2. Step 2: Convert to fraction form
    122,304.94/194,574.66 = 194,574.66/x
  3. Step 3: Cross multiply
    122,304.94x = 194,574.66 × 194,574.66
  4. Step 4: Simplify right side
    122,304.94x = 37,859,296,854.81
  5. Step 5: Solve for x
    x = 37,859,296,854.81/122,304.94
  6. Step 6: Final answer
    x = 309,548.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.