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Finding the Third Proportional to 202,304 and 321,498

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Solution

The third proportional to 202,304 and 321,498 is: 510,919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,304 : 321,498 = 321,498 : x
  2. Step 2: Convert to fraction form
    202,304/321,498 = 321,498/x
  3. Step 3: Cross multiply
    202,304x = 321,498 × 321,498
  4. Step 4: Simplify right side
    202,304x = 103,360,964,004
  5. Step 5: Solve for x
    x = 103,360,964,004/202,304
  6. Step 6: Final answer
    x = 510,919.03

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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.