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Finding the Third Proportional to 204,030 and 286,809

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Solution

The third proportional to 204,030 and 286,809 is: 403,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,030 : 286,809 = 286,809 : x
  2. Step 2: Convert to fraction form
    204,030/286,809 = 286,809/x
  3. Step 3: Cross multiply
    204,030x = 286,809 × 286,809
  4. Step 4: Simplify right side
    204,030x = 82,259,402,481
  5. Step 5: Solve for x
    x = 82,259,402,481/204,030
  6. Step 6: Final answer
    x = 403,173.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.