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Finding the Third Proportional to 263,188.13 and 375,098.63

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Solution

The third proportional to 263,188.13 and 375,098.63 is: 534,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,188.13 : 375,098.63 = 375,098.63 : x
  2. Step 2: Convert to fraction form
    263,188.13/375,098.63 = 375,098.63/x
  3. Step 3: Cross multiply
    263,188.13x = 375,098.63 × 375,098.63
  4. Step 4: Simplify right side
    263,188.13x = 140,698,978,476.89
  5. Step 5: Solve for x
    x = 140,698,978,476.89/263,188.13
  6. Step 6: Final answer
    x = 534,594.71

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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.