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Finding the Third Proportional to 203,972 and 286,730

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Solution

The third proportional to 203,972 and 286,730 is: 403,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,972 : 286,730 = 286,730 : x
  2. Step 2: Convert to fraction form
    203,972/286,730 = 286,730/x
  3. Step 3: Cross multiply
    203,972x = 286,730 × 286,730
  4. Step 4: Simplify right side
    203,972x = 82,214,092,900
  5. Step 5: Solve for x
    x = 82,214,092,900/203,972
  6. Step 6: Final answer
    x = 403,065.58

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