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Finding the Third Proportional to 194,808.94 and 291,429.56

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Solution

The third proportional to 194,808.94 and 291,429.56 is: 435,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,808.94 : 291,429.56 = 291,429.56 : x
  2. Step 2: Convert to fraction form
    194,808.94/291,429.56 = 291,429.56/x
  3. Step 3: Cross multiply
    194,808.94x = 291,429.56 × 291,429.56
  4. Step 4: Simplify right side
    194,808.94x = 84,931,189,898.94
  5. Step 5: Solve for x
    x = 84,931,189,898.94/194,808.94
  6. Step 6: Final answer
    x = 435,971.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.