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Finding the Third Proportional to 176,235.75 and 438,265.69

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Solution

The third proportional to 176,235.75 and 438,265.69 is: 1,089,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,235.75 : 438,265.69 = 438,265.69 : x
  2. Step 2: Convert to fraction form
    176,235.75/438,265.69 = 438,265.69/x
  3. Step 3: Cross multiply
    176,235.75x = 438,265.69 × 438,265.69
  4. Step 4: Simplify right side
    176,235.75x = 192,076,812,839.85
  5. Step 5: Solve for x
    x = 192,076,812,839.85/176,235.75
  6. Step 6: Final answer
    x = 1,089,885.64

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These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.