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Finding the Third Proportional to 176,024 and 380,109

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Solution

The third proportional to 176,024 and 380,109 is: 820,813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,024 : 380,109 = 380,109 : x
  2. Step 2: Convert to fraction form
    176,024/380,109 = 380,109/x
  3. Step 3: Cross multiply
    176,024x = 380,109 × 380,109
  4. Step 4: Simplify right side
    176,024x = 144,482,851,881
  5. Step 5: Solve for x
    x = 144,482,851,881/176,024
  6. Step 6: Final answer
    x = 820,813.37

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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.