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Finding the Third Proportional to 176,970.75 and 383,466.75

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Solution

The third proportional to 176,970.75 and 383,466.75 is: 830,909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,970.75 : 383,466.75 = 383,466.75 : x
  2. Step 2: Convert to fraction form
    176,970.75/383,466.75 = 383,466.75/x
  3. Step 3: Cross multiply
    176,970.75x = 383,466.75 × 383,466.75
  4. Step 4: Simplify right side
    176,970.75x = 147,046,748,355.56
  5. Step 5: Solve for x
    x = 147,046,748,355.56/176,970.75
  6. Step 6: Final answer
    x = 830,909.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.