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Finding the Third Proportional to 194,135 and 304,596.50

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Solution

The third proportional to 194,135 and 304,596.50 is: 477,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,135 : 304,596.50 = 304,596.50 : x
  2. Step 2: Convert to fraction form
    194,135/304,596.50 = 304,596.50/x
  3. Step 3: Cross multiply
    194,135x = 304,596.50 × 304,596.50
  4. Step 4: Simplify right side
    194,135x = 92,779,027,812.25
  5. Step 5: Solve for x
    x = 92,779,027,812.25/194,135
  6. Step 6: Final answer
    x = 477,909.85

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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.