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Finding the Third Proportional to 118,346 and 258,805

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Solution

The third proportional to 118,346 and 258,805 is: 565,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,346 : 258,805 = 258,805 : x
  2. Step 2: Convert to fraction form
    118,346/258,805 = 258,805/x
  3. Step 3: Cross multiply
    118,346x = 258,805 × 258,805
  4. Step 4: Simplify right side
    118,346x = 66,980,028,025
  5. Step 5: Solve for x
    x = 66,980,028,025/118,346
  6. Step 6: Final answer
    x = 565,967.82

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