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Finding the Third Proportional to 194,805.56 and 291,423.38

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Solution

The third proportional to 194,805.56 and 291,423.38 is: 435,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,805.56 : 291,423.38 = 291,423.38 : x
  2. Step 2: Convert to fraction form
    194,805.56/291,423.38 = 291,423.38/x
  3. Step 3: Cross multiply
    194,805.56x = 291,423.38 × 291,423.38
  4. Step 4: Simplify right side
    194,805.56x = 84,927,583,496.39
  5. Step 5: Solve for x
    x = 84,927,583,496.39/194,805.56
  6. Step 6: Final answer
    x = 435,960.77

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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.