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Finding the Third Proportional to 263,208.94 and 376,398.56

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Solution

The third proportional to 263,208.94 and 376,398.56 is: 538,263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,208.94 : 376,398.56 = 376,398.56 : x
  2. Step 2: Convert to fraction form
    263,208.94/376,398.56 = 376,398.56/x
  3. Step 3: Cross multiply
    263,208.94x = 376,398.56 × 376,398.56
  4. Step 4: Simplify right side
    263,208.94x = 141,675,877,852.07
  5. Step 5: Solve for x
    x = 141,675,877,852.07/263,208.94
  6. Step 6: Final answer
    x = 538,263.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.