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Finding the Third Proportional to 240,194 and 525,532

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Solution

The third proportional to 240,194 and 525,532 is: 1,149,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,194 : 525,532 = 525,532 : x
  2. Step 2: Convert to fraction form
    240,194/525,532 = 525,532/x
  3. Step 3: Cross multiply
    240,194x = 525,532 × 525,532
  4. Step 4: Simplify right side
    240,194x = 276,183,883,024
  5. Step 5: Solve for x
    x = 276,183,883,024/240,194
  6. Step 6: Final answer
    x = 1,149,836.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.