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Finding the Third Proportional to 163,226 and 351,340

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Solution

The third proportional to 163,226 and 351,340 is: 756,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,226 : 351,340 = 351,340 : x
  2. Step 2: Convert to fraction form
    163,226/351,340 = 351,340/x
  3. Step 3: Cross multiply
    163,226x = 351,340 × 351,340
  4. Step 4: Simplify right side
    163,226x = 123,439,795,600
  5. Step 5: Solve for x
    x = 123,439,795,600/163,226
  6. Step 6: Final answer
    x = 756,250.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.