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Finding the Third Proportional to 159,360 and 223,340

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Solution

The third proportional to 159,360 and 223,340 is: 313,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,360 : 223,340 = 223,340 : x
  2. Step 2: Convert to fraction form
    159,360/223,340 = 223,340/x
  3. Step 3: Cross multiply
    159,360x = 223,340 × 223,340
  4. Step 4: Simplify right side
    159,360x = 49,880,755,600
  5. Step 5: Solve for x
    x = 49,880,755,600/159,360
  6. Step 6: Final answer
    x = 313,006.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.