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Finding the Third Proportional to 130,080 and 270,024

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Solution

The third proportional to 130,080 and 270,024 is: 560,523.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,080 : 270,024 = 270,024 : x
  2. Step 2: Convert to fraction form
    130,080/270,024 = 270,024/x
  3. Step 3: Cross multiply
    130,080x = 270,024 × 270,024
  4. Step 4: Simplify right side
    130,080x = 72,912,960,576
  5. Step 5: Solve for x
    x = 72,912,960,576/130,080
  6. Step 6: Final answer
    x = 560,523.99

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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.