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Finding the Third Proportional to 236,446.50 and 357,123

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Solution

The third proportional to 236,446.50 and 357,123 is: 539,389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,446.50 : 357,123 = 357,123 : x
  2. Step 2: Convert to fraction form
    236,446.50/357,123 = 357,123/x
  3. Step 3: Cross multiply
    236,446.50x = 357,123 × 357,123
  4. Step 4: Simplify right side
    236,446.50x = 127,536,837,129
  5. Step 5: Solve for x
    x = 127,536,837,129/236,446.50
  6. Step 6: Final answer
    x = 539,389.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.