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Finding the Third Proportional to 130,152 and 263,926

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Solution

The third proportional to 130,152 and 263,926 is: 535,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,152 : 263,926 = 263,926 : x
  2. Step 2: Convert to fraction form
    130,152/263,926 = 263,926/x
  3. Step 3: Cross multiply
    130,152x = 263,926 × 263,926
  4. Step 4: Simplify right side
    130,152x = 69,656,933,476
  5. Step 5: Solve for x
    x = 69,656,933,476/130,152
  6. Step 6: Final answer
    x = 535,196.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.