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Finding the Third Proportional to 162,125.25 and 258,996.75

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Solution

The third proportional to 162,125.25 and 258,996.75 is: 413,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,125.25 : 258,996.75 = 258,996.75 : x
  2. Step 2: Convert to fraction form
    162,125.25/258,996.75 = 258,996.75/x
  3. Step 3: Cross multiply
    162,125.25x = 258,996.75 × 258,996.75
  4. Step 4: Simplify right side
    162,125.25x = 67,079,316,510.56
  5. Step 5: Solve for x
    x = 67,079,316,510.56/162,125.25
  6. Step 6: Final answer
    x = 413,749.96

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.