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Finding the Third Proportional to 130,178 and 270,722

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Solution

The third proportional to 130,178 and 270,722 is: 563,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,178 : 270,722 = 270,722 : x
  2. Step 2: Convert to fraction form
    130,178/270,722 = 270,722/x
  3. Step 3: Cross multiply
    130,178x = 270,722 × 270,722
  4. Step 4: Simplify right side
    130,178x = 73,290,401,284
  5. Step 5: Solve for x
    x = 73,290,401,284/130,178
  6. Step 6: Final answer
    x = 563,001.44

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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.