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Finding the Third Proportional to 197,970 and 431,673

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Solution

The third proportional to 197,970 and 431,673 is: 941,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,970 : 431,673 = 431,673 : x
  2. Step 2: Convert to fraction form
    197,970/431,673 = 431,673/x
  3. Step 3: Cross multiply
    197,970x = 431,673 × 431,673
  4. Step 4: Simplify right side
    197,970x = 186,341,578,929
  5. Step 5: Solve for x
    x = 186,341,578,929/197,970
  6. Step 6: Final answer
    x = 941,261.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.