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Finding the Third Proportional to 343,208 and 525,027

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Solution

The third proportional to 343,208 and 525,027 is: 803,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,208 : 525,027 = 525,027 : x
  2. Step 2: Convert to fraction form
    343,208/525,027 = 525,027/x
  3. Step 3: Cross multiply
    343,208x = 525,027 × 525,027
  4. Step 4: Simplify right side
    343,208x = 275,653,350,729
  5. Step 5: Solve for x
    x = 275,653,350,729/343,208
  6. Step 6: Final answer
    x = 803,167.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.