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Finding the Third Proportional to 176,036 and 380,133

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Solution

The third proportional to 176,036 and 380,133 is: 820,861.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,036 : 380,133 = 380,133 : x
  2. Step 2: Convert to fraction form
    176,036/380,133 = 380,133/x
  3. Step 3: Cross multiply
    176,036x = 380,133 × 380,133
  4. Step 4: Simplify right side
    176,036x = 144,501,097,689
  5. Step 5: Solve for x
    x = 144,501,097,689/176,036
  6. Step 6: Final answer
    x = 820,861.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.