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Finding the Third Proportional to 197,350 and 306,136

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Solution

The third proportional to 197,350 and 306,136 is: 474,888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,350 : 306,136 = 306,136 : x
  2. Step 2: Convert to fraction form
    197,350/306,136 = 306,136/x
  3. Step 3: Cross multiply
    197,350x = 306,136 × 306,136
  4. Step 4: Simplify right side
    197,350x = 93,719,250,496
  5. Step 5: Solve for x
    x = 93,719,250,496/197,350
  6. Step 6: Final answer
    x = 474,888.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.