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Finding the Third Proportional to 130,194 and 270,753

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Solution

The third proportional to 130,194 and 270,753 is: 563,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,194 : 270,753 = 270,753 : x
  2. Step 2: Convert to fraction form
    130,194/270,753 = 270,753/x
  3. Step 3: Cross multiply
    130,194x = 270,753 × 270,753
  4. Step 4: Simplify right side
    130,194x = 73,307,187,009
  5. Step 5: Solve for x
    x = 73,307,187,009/130,194
  6. Step 6: Final answer
    x = 563,061.18

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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.