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Finding the Third Proportional to 118,824 and 264,213

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Solution

The third proportional to 118,824 and 264,213 is: 587,495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,824 : 264,213 = 264,213 : x
  2. Step 2: Convert to fraction form
    118,824/264,213 = 264,213/x
  3. Step 3: Cross multiply
    118,824x = 264,213 × 264,213
  4. Step 4: Simplify right side
    118,824x = 69,808,509,369
  5. Step 5: Solve for x
    x = 69,808,509,369/118,824
  6. Step 6: Final answer
    x = 587,495.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.