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Finding the Third Proportional to 130,652 and 199,726

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Solution

The third proportional to 130,652 and 199,726 is: 305,318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,652 : 199,726 = 199,726 : x
  2. Step 2: Convert to fraction form
    130,652/199,726 = 199,726/x
  3. Step 3: Cross multiply
    130,652x = 199,726 × 199,726
  4. Step 4: Simplify right side
    130,652x = 39,890,475,076
  5. Step 5: Solve for x
    x = 39,890,475,076/130,652
  6. Step 6: Final answer
    x = 305,318.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.