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Finding the Third Proportional to 236,942 and 375,123

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Solution

The third proportional to 236,942 and 375,123 is: 593,889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,942 : 375,123 = 375,123 : x
  2. Step 2: Convert to fraction form
    236,942/375,123 = 375,123/x
  3. Step 3: Cross multiply
    236,942x = 375,123 × 375,123
  4. Step 4: Simplify right side
    236,942x = 140,717,265,129
  5. Step 5: Solve for x
    x = 140,717,265,129/236,942
  6. Step 6: Final answer
    x = 593,889.07

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.