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Finding the Third Proportional to 202,499 and 321,833

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Solution

The third proportional to 202,499 and 321,833 is: 511,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,499 : 321,833 = 321,833 : x
  2. Step 2: Convert to fraction form
    202,499/321,833 = 321,833/x
  3. Step 3: Cross multiply
    202,499x = 321,833 × 321,833
  4. Step 4: Simplify right side
    202,499x = 103,576,479,889
  5. Step 5: Solve for x
    x = 103,576,479,889/202,499
  6. Step 6: Final answer
    x = 511,491.32

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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.