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Finding the Third Proportional to 114,986 and 243,886

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Solution

The third proportional to 114,986 and 243,886 is: 517,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,986 : 243,886 = 243,886 : x
  2. Step 2: Convert to fraction form
    114,986/243,886 = 243,886/x
  3. Step 3: Cross multiply
    114,986x = 243,886 × 243,886
  4. Step 4: Simplify right side
    114,986x = 59,480,380,996
  5. Step 5: Solve for x
    x = 59,480,380,996/114,986
  6. Step 6: Final answer
    x = 517,283.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.