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Finding the Third Proportional to 236,447 and 325,140

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Solution

The third proportional to 236,447 and 325,140 is: 447,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,447 : 325,140 = 325,140 : x
  2. Step 2: Convert to fraction form
    236,447/325,140 = 325,140/x
  3. Step 3: Cross multiply
    236,447x = 325,140 × 325,140
  4. Step 4: Simplify right side
    236,447x = 105,716,019,600
  5. Step 5: Solve for x
    x = 105,716,019,600/236,447
  6. Step 6: Final answer
    x = 447,102.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.