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Finding the Third Proportional to 180,228 and 371,880

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Solution

The third proportional to 180,228 and 371,880 is: 767,332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,228 : 371,880 = 371,880 : x
  2. Step 2: Convert to fraction form
    180,228/371,880 = 371,880/x
  3. Step 3: Cross multiply
    180,228x = 371,880 × 371,880
  4. Step 4: Simplify right side
    180,228x = 138,294,734,400
  5. Step 5: Solve for x
    x = 138,294,734,400/180,228
  6. Step 6: Final answer
    x = 767,332.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.