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Finding the Third Proportional to 194,556 and 291,828

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Solution

The third proportional to 194,556 and 291,828 is: 437,733.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,556 : 291,828 = 291,828 : x
  2. Step 2: Convert to fraction form
    194,556/291,828 = 291,828/x
  3. Step 3: Cross multiply
    194,556x = 291,828 × 291,828
  4. Step 4: Simplify right side
    194,556x = 85,163,581,584
  5. Step 5: Solve for x
    x = 85,163,581,584/194,556
  6. Step 6: Final answer
    x = 437,733.00

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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.