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Finding the Third Proportional to 197,813 and 433,532

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Solution

The third proportional to 197,813 and 433,532 is: 950,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,813 : 433,532 = 433,532 : x
  2. Step 2: Convert to fraction form
    197,813/433,532 = 433,532/x
  3. Step 3: Cross multiply
    197,813x = 433,532 × 433,532
  4. Step 4: Simplify right side
    197,813x = 187,949,995,024
  5. Step 5: Solve for x
    x = 187,949,995,024/197,813
  6. Step 6: Final answer
    x = 950,139.75

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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.