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Finding the Third Proportional to 118,314 and 258,462

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Solution

The third proportional to 118,314 and 258,462 is: 564,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,314 : 258,462 = 258,462 : x
  2. Step 2: Convert to fraction form
    118,314/258,462 = 258,462/x
  3. Step 3: Cross multiply
    118,314x = 258,462 × 258,462
  4. Step 4: Simplify right side
    118,314x = 66,802,605,444
  5. Step 5: Solve for x
    x = 66,802,605,444/118,314
  6. Step 6: Final answer
    x = 564,621.31

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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.