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Finding the Third Proportional to 118,954 and 264,148

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Solution

The third proportional to 118,954 and 264,148 is: 586,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,954 : 264,148 = 264,148 : x
  2. Step 2: Convert to fraction form
    118,954/264,148 = 264,148/x
  3. Step 3: Cross multiply
    118,954x = 264,148 × 264,148
  4. Step 4: Simplify right side
    118,954x = 69,774,165,904
  5. Step 5: Solve for x
    x = 69,774,165,904/118,954
  6. Step 6: Final answer
    x = 586,564.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.