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Finding the Third Proportional to 202,150.50 and 239,056

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Solution

The third proportional to 202,150.50 and 239,056 is: 282,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,150.50 : 239,056 = 239,056 : x
  2. Step 2: Convert to fraction form
    202,150.50/239,056 = 239,056/x
  3. Step 3: Cross multiply
    202,150.50x = 239,056 × 239,056
  4. Step 4: Simplify right side
    202,150.50x = 57,147,771,136
  5. Step 5: Solve for x
    x = 57,147,771,136/202,150.50
  6. Step 6: Final answer
    x = 282,699.13

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.