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Finding the Third Proportional to 117,546 and 258,417

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Solution

The third proportional to 117,546 and 258,417 is: 568,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,546 : 258,417 = 258,417 : x
  2. Step 2: Convert to fraction form
    117,546/258,417 = 258,417/x
  3. Step 3: Cross multiply
    117,546x = 258,417 × 258,417
  4. Step 4: Simplify right side
    117,546x = 66,779,345,889
  5. Step 5: Solve for x
    x = 66,779,345,889/117,546
  6. Step 6: Final answer
    x = 568,112.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.