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Finding the Third Proportional to 133,176 and 179,428.50

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Solution

The third proportional to 133,176 and 179,428.50 is: 241,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,176 : 179,428.50 = 179,428.50 : x
  2. Step 2: Convert to fraction form
    133,176/179,428.50 = 179,428.50/x
  3. Step 3: Cross multiply
    133,176x = 179,428.50 × 179,428.50
  4. Step 4: Simplify right side
    133,176x = 32,194,586,612.25
  5. Step 5: Solve for x
    x = 32,194,586,612.25/133,176
  6. Step 6: Final answer
    x = 241,744.66

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.