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Finding the Third Proportional to 269,177.50 and 392,082

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Solution

The third proportional to 269,177.50 and 392,082 is: 571,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,177.50 : 392,082 = 392,082 : x
  2. Step 2: Convert to fraction form
    269,177.50/392,082 = 392,082/x
  3. Step 3: Cross multiply
    269,177.50x = 392,082 × 392,082
  4. Step 4: Simplify right side
    269,177.50x = 153,728,294,724
  5. Step 5: Solve for x
    x = 153,728,294,724/269,177.50
  6. Step 6: Final answer
    x = 571,103.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.