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Finding the Third Proportional to 194,155.13 and 294,239.81

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Solution

The third proportional to 194,155.13 and 294,239.81 is: 445,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,155.13 : 294,239.81 = 294,239.81 : x
  2. Step 2: Convert to fraction form
    194,155.13/294,239.81 = 294,239.81/x
  3. Step 3: Cross multiply
    194,155.13x = 294,239.81 × 294,239.81
  4. Step 4: Simplify right side
    194,155.13x = 86,577,067,260.04
  5. Step 5: Solve for x
    x = 86,577,067,260.04/194,155.13
  6. Step 6: Final answer
    x = 445,916.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.