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Finding the Third Proportional to 263,218 and 375,139

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Solution

The third proportional to 263,218 and 375,139 is: 534,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,218 : 375,139 = 375,139 : x
  2. Step 2: Convert to fraction form
    263,218/375,139 = 375,139/x
  3. Step 3: Cross multiply
    263,218x = 375,139 × 375,139
  4. Step 4: Simplify right side
    263,218x = 140,729,269,321
  5. Step 5: Solve for x
    x = 140,729,269,321/263,218
  6. Step 6: Final answer
    x = 534,649.11

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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.