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Finding the Third Proportional to 114,541 and 236,938

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Solution

The third proportional to 114,541 and 236,938 is: 490,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,541 : 236,938 = 236,938 : x
  2. Step 2: Convert to fraction form
    114,541/236,938 = 236,938/x
  3. Step 3: Cross multiply
    114,541x = 236,938 × 236,938
  4. Step 4: Simplify right side
    114,541x = 56,139,615,844
  5. Step 5: Solve for x
    x = 56,139,615,844/114,541
  6. Step 6: Final answer
    x = 490,126.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.