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Finding the Third Proportional to 175,365 and 380,241

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Solution

The third proportional to 175,365 and 380,241 is: 824,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,365 : 380,241 = 380,241 : x
  2. Step 2: Convert to fraction form
    175,365/380,241 = 380,241/x
  3. Step 3: Cross multiply
    175,365x = 380,241 × 380,241
  4. Step 4: Simplify right side
    175,365x = 144,583,218,081
  5. Step 5: Solve for x
    x = 144,583,218,081/175,365
  6. Step 6: Final answer
    x = 824,470.21

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Why These Related Problems?

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