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Finding the Third Proportional to 194,526.56 and 291,789.84

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Solution

The third proportional to 194,526.56 and 291,789.84 is: 437,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,526.56 : 291,789.84 = 291,789.84 : x
  2. Step 2: Convert to fraction form
    194,526.56/291,789.84 = 291,789.84/x
  3. Step 3: Cross multiply
    194,526.56x = 291,789.84 × 291,789.84
  4. Step 4: Simplify right side
    194,526.56x = 85,141,312,915.65
  5. Step 5: Solve for x
    x = 85,141,312,915.65/194,526.56
  6. Step 6: Final answer
    x = 437,684.77

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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.