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Finding the Third Proportional to 197,600 and 288,948

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Solution

The third proportional to 197,600 and 288,948 is: 422,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,600 : 288,948 = 288,948 : x
  2. Step 2: Convert to fraction form
    197,600/288,948 = 288,948/x
  3. Step 3: Cross multiply
    197,600x = 288,948 × 288,948
  4. Step 4: Simplify right side
    197,600x = 83,490,946,704
  5. Step 5: Solve for x
    x = 83,490,946,704/197,600
  6. Step 6: Final answer
    x = 422,525.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.