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Finding the Third Proportional to 121,203 and 264,978

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Solution

The third proportional to 121,203 and 264,978 is: 579,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,203 : 264,978 = 264,978 : x
  2. Step 2: Convert to fraction form
    121,203/264,978 = 264,978/x
  3. Step 3: Cross multiply
    121,203x = 264,978 × 264,978
  4. Step 4: Simplify right side
    121,203x = 70,213,340,484
  5. Step 5: Solve for x
    x = 70,213,340,484/121,203
  6. Step 6: Final answer
    x = 579,303.65

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