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Finding the Third Proportional to 118,488 and 259,937

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Solution

The third proportional to 118,488 and 259,937 is: 570,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,488 : 259,937 = 259,937 : x
  2. Step 2: Convert to fraction form
    118,488/259,937 = 259,937/x
  3. Step 3: Cross multiply
    118,488x = 259,937 × 259,937
  4. Step 4: Simplify right side
    118,488x = 67,567,243,969
  5. Step 5: Solve for x
    x = 67,567,243,969/118,488
  6. Step 6: Final answer
    x = 570,245.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.