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Finding the Third Proportional to 180,135.75 and 276,309

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Solution

The third proportional to 180,135.75 and 276,309 is: 423,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,135.75 : 276,309 = 276,309 : x
  2. Step 2: Convert to fraction form
    180,135.75/276,309 = 276,309/x
  3. Step 3: Cross multiply
    180,135.75x = 276,309 × 276,309
  4. Step 4: Simplify right side
    180,135.75x = 76,346,663,481
  5. Step 5: Solve for x
    x = 76,346,663,481/180,135.75
  6. Step 6: Final answer
    x = 423,828.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.