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Finding the Third Proportional to 121,219 and 264,468

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Solution

The third proportional to 121,219 and 264,468 is: 576,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,219 : 264,468 = 264,468 : x
  2. Step 2: Convert to fraction form
    121,219/264,468 = 264,468/x
  3. Step 3: Cross multiply
    121,219x = 264,468 × 264,468
  4. Step 4: Simplify right side
    121,219x = 69,943,323,024
  5. Step 5: Solve for x
    x = 69,943,323,024/121,219
  6. Step 6: Final answer
    x = 576,999.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.