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Finding the Third Proportional to 117,954 and 252,438.47

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Solution

The third proportional to 117,954 and 252,438.47 is: 540,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,954 : 252,438.47 = 252,438.47 : x
  2. Step 2: Convert to fraction form
    117,954/252,438.47 = 252,438.47/x
  3. Step 3: Cross multiply
    117,954x = 252,438.47 × 252,438.47
  4. Step 4: Simplify right side
    117,954x = 63,725,180,504.84
  5. Step 5: Solve for x
    x = 63,725,180,504.84/117,954
  6. Step 6: Final answer
    x = 540,254.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.