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Finding the Third Proportional to 194,056 and 291,804

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Solution

The third proportional to 194,056 and 291,804 is: 438,788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,056 : 291,804 = 291,804 : x
  2. Step 2: Convert to fraction form
    194,056/291,804 = 291,804/x
  3. Step 3: Cross multiply
    194,056x = 291,804 × 291,804
  4. Step 4: Simplify right side
    194,056x = 85,149,574,416
  5. Step 5: Solve for x
    x = 85,149,574,416/194,056
  6. Step 6: Final answer
    x = 438,788.67

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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.