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Finding the Third Proportional to 263,208 and 375,127

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Solution

The third proportional to 263,208 and 375,127 is: 534,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,208 : 375,127 = 375,127 : x
  2. Step 2: Convert to fraction form
    263,208/375,127 = 375,127/x
  3. Step 3: Cross multiply
    263,208x = 375,127 × 375,127
  4. Step 4: Simplify right side
    263,208x = 140,720,266,129
  5. Step 5: Solve for x
    x = 140,720,266,129/263,208
  6. Step 6: Final answer
    x = 534,635.22

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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.