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Finding the Third Proportional to 194,136 and 304,598

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Solution

The third proportional to 194,136 and 304,598 is: 477,912.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,136 : 304,598 = 304,598 : x
  2. Step 2: Convert to fraction form
    194,136/304,598 = 304,598/x
  3. Step 3: Cross multiply
    194,136x = 304,598 × 304,598
  4. Step 4: Simplify right side
    194,136x = 92,779,941,604
  5. Step 5: Solve for x
    x = 92,779,941,604/194,136
  6. Step 6: Final answer
    x = 477,912.09

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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.