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Finding the Third Proportional to 202,492 and 321,823

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Solution

The third proportional to 202,492 and 321,823 is: 511,477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,492 : 321,823 = 321,823 : x
  2. Step 2: Convert to fraction form
    202,492/321,823 = 321,823/x
  3. Step 3: Cross multiply
    202,492x = 321,823 × 321,823
  4. Step 4: Simplify right side
    202,492x = 103,570,043,329
  5. Step 5: Solve for x
    x = 103,570,043,329/202,492
  6. Step 6: Final answer
    x = 511,477.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.