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Finding the Third Proportional to 197,066 and 288,607

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Solution

The third proportional to 197,066 and 288,607 is: 422,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,066 : 288,607 = 288,607 : x
  2. Step 2: Convert to fraction form
    197,066/288,607 = 288,607/x
  3. Step 3: Cross multiply
    197,066x = 288,607 × 288,607
  4. Step 4: Simplify right side
    197,066x = 83,294,000,449
  5. Step 5: Solve for x
    x = 83,294,000,449/197,066
  6. Step 6: Final answer
    x = 422,670.58

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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.