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Finding the Third Proportional to 130,266.56 and 197,928.56

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Solution

The third proportional to 130,266.56 and 197,928.56 is: 300,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,266.56 : 197,928.56 = 197,928.56 : x
  2. Step 2: Convert to fraction form
    130,266.56/197,928.56 = 197,928.56/x
  3. Step 3: Cross multiply
    130,266.56x = 197,928.56 × 197,928.56
  4. Step 4: Simplify right side
    130,266.56x = 39,175,715,853.32
  5. Step 5: Solve for x
    x = 39,175,715,853.32/130,266.56
  6. Step 6: Final answer
    x = 300,735.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.