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Finding the Third Proportional to 189,756.42 and 293,707.27

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Solution

The third proportional to 189,756.42 and 293,707.27 is: 454,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,756.42 : 293,707.27 = 293,707.27 : x
  2. Step 2: Convert to fraction form
    189,756.42/293,707.27 = 293,707.27/x
  3. Step 3: Cross multiply
    189,756.42x = 293,707.27 × 293,707.27
  4. Step 4: Simplify right side
    189,756.42x = 86,263,957,880.91
  5. Step 5: Solve for x
    x = 86,263,957,880.91/189,756.42
  6. Step 6: Final answer
    x = 454,603.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.