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Finding the Third Proportional to 194,134 and 304,595

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Solution

The third proportional to 194,134 and 304,595 is: 477,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,134 : 304,595 = 304,595 : x
  2. Step 2: Convert to fraction form
    194,134/304,595 = 304,595/x
  3. Step 3: Cross multiply
    194,134x = 304,595 × 304,595
  4. Step 4: Simplify right side
    194,134x = 92,778,114,025
  5. Step 5: Solve for x
    x = 92,778,114,025/194,134
  6. Step 6: Final answer
    x = 477,907.60

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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.