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Finding the Third Proportional to 197,235 and 431,784

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Solution

The third proportional to 197,235 and 431,784 is: 945,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,235 : 431,784 = 431,784 : x
  2. Step 2: Convert to fraction form
    197,235/431,784 = 431,784/x
  3. Step 3: Cross multiply
    197,235x = 431,784 × 431,784
  4. Step 4: Simplify right side
    197,235x = 186,437,422,656
  5. Step 5: Solve for x
    x = 186,437,422,656/197,235
  6. Step 6: Final answer
    x = 945,255.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.