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Finding the Third Proportional to 235,512 and 363,852

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Solution

The third proportional to 235,512 and 363,852 is: 562,129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,512 : 363,852 = 363,852 : x
  2. Step 2: Convert to fraction form
    235,512/363,852 = 363,852/x
  3. Step 3: Cross multiply
    235,512x = 363,852 × 363,852
  4. Step 4: Simplify right side
    235,512x = 132,388,277,904
  5. Step 5: Solve for x
    x = 132,388,277,904/235,512
  6. Step 6: Final answer
    x = 562,129.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.