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Finding the Third Proportional to 127,080 and 264,693

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Solution

The third proportional to 127,080 and 264,693 is: 551,325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,080 : 264,693 = 264,693 : x
  2. Step 2: Convert to fraction form
    127,080/264,693 = 264,693/x
  3. Step 3: Cross multiply
    127,080x = 264,693 × 264,693
  4. Step 4: Simplify right side
    127,080x = 70,062,384,249
  5. Step 5: Solve for x
    x = 70,062,384,249/127,080
  6. Step 6: Final answer
    x = 551,325.03

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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.