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Finding the Third Proportional to 197,704.50 and 433,047

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Solution

The third proportional to 197,704.50 and 433,047 is: 948,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,704.50 : 433,047 = 433,047 : x
  2. Step 2: Convert to fraction form
    197,704.50/433,047 = 433,047/x
  3. Step 3: Cross multiply
    197,704.50x = 433,047 × 433,047
  4. Step 4: Simplify right side
    197,704.50x = 187,529,704,209
  5. Step 5: Solve for x
    x = 187,529,704,209/197,704.50
  6. Step 6: Final answer
    x = 948,535.34

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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.