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Finding the Third Proportional to 173,340 and 360,270

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Solution

The third proportional to 173,340 and 360,270 is: 748,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,340 : 360,270 = 360,270 : x
  2. Step 2: Convert to fraction form
    173,340/360,270 = 360,270/x
  3. Step 3: Cross multiply
    173,340x = 360,270 × 360,270
  4. Step 4: Simplify right side
    173,340x = 129,794,472,900
  5. Step 5: Solve for x
    x = 129,794,472,900/173,340
  6. Step 6: Final answer
    x = 748,785.47

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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.