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Finding the Third Proportional to 197,795 and 314,472

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Solution

The third proportional to 197,795 and 314,472 is: 499,975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,795 : 314,472 = 314,472 : x
  2. Step 2: Convert to fraction form
    197,795/314,472 = 314,472/x
  3. Step 3: Cross multiply
    197,795x = 314,472 × 314,472
  4. Step 4: Simplify right side
    197,795x = 98,892,638,784
  5. Step 5: Solve for x
    x = 98,892,638,784/197,795
  6. Step 6: Final answer
    x = 499,975.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.