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Finding the Third Proportional to 186,117.75 and 226,941.75

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Solution

The third proportional to 186,117.75 and 226,941.75 is: 276,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,117.75 : 226,941.75 = 226,941.75 : x
  2. Step 2: Convert to fraction form
    186,117.75/226,941.75 = 226,941.75/x
  3. Step 3: Cross multiply
    186,117.75x = 226,941.75 × 226,941.75
  4. Step 4: Simplify right side
    186,117.75x = 51,502,557,893.06
  5. Step 5: Solve for x
    x = 51,502,557,893.06/186,117.75
  6. Step 6: Final answer
    x = 276,720.29

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.