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Finding the Third Proportional to 114,243 and 247,926

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Solution

The third proportional to 114,243 and 247,926 is: 538,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,243 : 247,926 = 247,926 : x
  2. Step 2: Convert to fraction form
    114,243/247,926 = 247,926/x
  3. Step 3: Cross multiply
    114,243x = 247,926 × 247,926
  4. Step 4: Simplify right side
    114,243x = 61,467,301,476
  5. Step 5: Solve for x
    x = 61,467,301,476/114,243
  6. Step 6: Final answer
    x = 538,039.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.