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Finding the Third Proportional to 178,423.75 and 392,334.25

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Solution

The third proportional to 178,423.75 and 392,334.25 is: 862,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,423.75 : 392,334.25 = 392,334.25 : x
  2. Step 2: Convert to fraction form
    178,423.75/392,334.25 = 392,334.25/x
  3. Step 3: Cross multiply
    178,423.75x = 392,334.25 × 392,334.25
  4. Step 4: Simplify right side
    178,423.75x = 153,926,163,723.06
  5. Step 5: Solve for x
    x = 153,926,163,723.06/178,423.75
  6. Step 6: Final answer
    x = 862,699.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.