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Finding the Third Proportional to 178,315.75 and 264,527.25

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Solution

The third proportional to 178,315.75 and 264,527.25 is: 392,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,315.75 : 264,527.25 = 264,527.25 : x
  2. Step 2: Convert to fraction form
    178,315.75/264,527.25 = 264,527.25/x
  3. Step 3: Cross multiply
    178,315.75x = 264,527.25 × 264,527.25
  4. Step 4: Simplify right side
    178,315.75x = 69,974,665,992.56
  5. Step 5: Solve for x
    x = 69,974,665,992.56/178,315.75
  6. Step 6: Final answer
    x = 392,420.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.