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Finding the Third Proportional to 117,860 and 254,546

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Solution

The third proportional to 117,860 and 254,546 is: 549,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,860 : 254,546 = 254,546 : x
  2. Step 2: Convert to fraction form
    117,860/254,546 = 254,546/x
  3. Step 3: Cross multiply
    117,860x = 254,546 × 254,546
  4. Step 4: Simplify right side
    117,860x = 64,793,666,116
  5. Step 5: Solve for x
    x = 64,793,666,116/117,860
  6. Step 6: Final answer
    x = 549,751.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.