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Finding the Third Proportional to 201,892.50 and 283,095

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Solution

The third proportional to 201,892.50 and 283,095 is: 396,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,892.50 : 283,095 = 283,095 : x
  2. Step 2: Convert to fraction form
    201,892.50/283,095 = 283,095/x
  3. Step 3: Cross multiply
    201,892.50x = 283,095 × 283,095
  4. Step 4: Simplify right side
    201,892.50x = 80,142,779,025
  5. Step 5: Solve for x
    x = 80,142,779,025/201,892.50
  6. Step 6: Final answer
    x = 396,957.68

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.