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Finding the Third Proportional to 118,984 and 259,673

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Solution

The third proportional to 118,984 and 259,673 is: 566,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,984 : 259,673 = 259,673 : x
  2. Step 2: Convert to fraction form
    118,984/259,673 = 259,673/x
  3. Step 3: Cross multiply
    118,984x = 259,673 × 259,673
  4. Step 4: Simplify right side
    118,984x = 67,430,066,929
  5. Step 5: Solve for x
    x = 67,430,066,929/118,984
  6. Step 6: Final answer
    x = 566,715.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.