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Finding the Third Proportional to 118,334 and 258,502

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Solution

The third proportional to 118,334 and 258,502 is: 564,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,334 : 258,502 = 258,502 : x
  2. Step 2: Convert to fraction form
    118,334/258,502 = 258,502/x
  3. Step 3: Cross multiply
    118,334x = 258,502 × 258,502
  4. Step 4: Simplify right side
    118,334x = 66,823,284,004
  5. Step 5: Solve for x
    x = 66,823,284,004/118,334
  6. Step 6: Final answer
    x = 564,700.63

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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.