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Finding the Third Proportional to 197,133.75 and 264,898.69

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Solution

The third proportional to 197,133.75 and 264,898.69 is: 355,957.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,133.75 : 264,898.69 = 264,898.69 : x
  2. Step 2: Convert to fraction form
    197,133.75/264,898.69 = 264,898.69/x
  3. Step 3: Cross multiply
    197,133.75x = 264,898.69 × 264,898.69
  4. Step 4: Simplify right side
    197,133.75x = 70,171,314,639.22
  5. Step 5: Solve for x
    x = 70,171,314,639.22/197,133.75
  6. Step 6: Final answer
    x = 355,957.89

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.