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Finding the Third Proportional to 197,648 and 291,252

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Solution

The third proportional to 197,648 and 291,252 is: 429,185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,648 : 291,252 = 291,252 : x
  2. Step 2: Convert to fraction form
    197,648/291,252 = 291,252/x
  3. Step 3: Cross multiply
    197,648x = 291,252 × 291,252
  4. Step 4: Simplify right side
    197,648x = 84,827,727,504
  5. Step 5: Solve for x
    x = 84,827,727,504/197,648
  6. Step 6: Final answer
    x = 429,185.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.