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Finding the Third Proportional to 194,408 and 304,572

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Solution

The third proportional to 194,408 and 304,572 is: 477,161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,408 : 304,572 = 304,572 : x
  2. Step 2: Convert to fraction form
    194,408/304,572 = 304,572/x
  3. Step 3: Cross multiply
    194,408x = 304,572 × 304,572
  4. Step 4: Simplify right side
    194,408x = 92,764,103,184
  5. Step 5: Solve for x
    x = 92,764,103,184/194,408
  6. Step 6: Final answer
    x = 477,161.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.