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Finding the Third Proportional to 130,266 and 270,900

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Solution

The third proportional to 130,266 and 270,900 is: 563,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,266 : 270,900 = 270,900 : x
  2. Step 2: Convert to fraction form
    130,266/270,900 = 270,900/x
  3. Step 3: Cross multiply
    130,266x = 270,900 × 270,900
  4. Step 4: Simplify right side
    130,266x = 73,386,810,000
  5. Step 5: Solve for x
    x = 73,386,810,000/130,266
  6. Step 6: Final answer
    x = 563,361.20

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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.