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Finding the Third Proportional to 127,213 and 264,889

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Solution

The third proportional to 127,213 and 264,889 is: 551,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,213 : 264,889 = 264,889 : x
  2. Step 2: Convert to fraction form
    127,213/264,889 = 264,889/x
  3. Step 3: Cross multiply
    127,213x = 264,889 × 264,889
  4. Step 4: Simplify right side
    127,213x = 70,166,182,321
  5. Step 5: Solve for x
    x = 70,166,182,321/127,213
  6. Step 6: Final answer
    x = 551,564.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.