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Finding the Third Proportional to 114,194 and 245,887

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Solution

The third proportional to 114,194 and 245,887 is: 529,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,194 : 245,887 = 245,887 : x
  2. Step 2: Convert to fraction form
    114,194/245,887 = 245,887/x
  3. Step 3: Cross multiply
    114,194x = 245,887 × 245,887
  4. Step 4: Simplify right side
    114,194x = 60,460,416,769
  5. Step 5: Solve for x
    x = 60,460,416,769/114,194
  6. Step 6: Final answer
    x = 529,453.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.