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Finding the Third Proportional to 130,816 and 305,899

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Solution

The third proportional to 130,816 and 305,899 is: 715,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,816 : 305,899 = 305,899 : x
  2. Step 2: Convert to fraction form
    130,816/305,899 = 305,899/x
  3. Step 3: Cross multiply
    130,816x = 305,899 × 305,899
  4. Step 4: Simplify right side
    130,816x = 93,574,198,201
  5. Step 5: Solve for x
    x = 93,574,198,201/130,816
  6. Step 6: Final answer
    x = 715,311.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.