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Finding the Third Proportional to 180,148 and 269,214

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Solution

The third proportional to 180,148 and 269,214 is: 402,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,148 : 269,214 = 269,214 : x
  2. Step 2: Convert to fraction form
    180,148/269,214 = 269,214/x
  3. Step 3: Cross multiply
    180,148x = 269,214 × 269,214
  4. Step 4: Simplify right side
    180,148x = 72,476,177,796
  5. Step 5: Solve for x
    x = 72,476,177,796/180,148
  6. Step 6: Final answer
    x = 402,314.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.