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Finding the Third Proportional to 178,980 and 270,726

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Solution

The third proportional to 178,980 and 270,726 is: 409,501.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,980 : 270,726 = 270,726 : x
  2. Step 2: Convert to fraction form
    178,980/270,726 = 270,726/x
  3. Step 3: Cross multiply
    178,980x = 270,726 × 270,726
  4. Step 4: Simplify right side
    178,980x = 73,292,567,076
  5. Step 5: Solve for x
    x = 73,292,567,076/178,980
  6. Step 6: Final answer
    x = 409,501.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.