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Finding the Third Proportional to 176,043 and 380,144

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Solution

The third proportional to 176,043 and 380,144 is: 820,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,043 : 380,144 = 380,144 : x
  2. Step 2: Convert to fraction form
    176,043/380,144 = 380,144/x
  3. Step 3: Cross multiply
    176,043x = 380,144 × 380,144
  4. Step 4: Simplify right side
    176,043x = 144,509,460,736
  5. Step 5: Solve for x
    x = 144,509,460,736/176,043
  6. Step 6: Final answer
    x = 820,875.93

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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.