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Finding the Third Proportional to 114,318 and 262,926

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Solution

The third proportional to 114,318 and 262,926 is: 604,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,318 : 262,926 = 262,926 : x
  2. Step 2: Convert to fraction form
    114,318/262,926 = 262,926/x
  3. Step 3: Cross multiply
    114,318x = 262,926 × 262,926
  4. Step 4: Simplify right side
    114,318x = 69,130,081,476
  5. Step 5: Solve for x
    x = 69,130,081,476/114,318
  6. Step 6: Final answer
    x = 604,717.38

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.