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Finding the Third Proportional to 166,033.50 and 359,586

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Solution

The third proportional to 166,033.50 and 359,586 is: 778,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,033.50 : 359,586 = 359,586 : x
  2. Step 2: Convert to fraction form
    166,033.50/359,586 = 359,586/x
  3. Step 3: Cross multiply
    166,033.50x = 359,586 × 359,586
  4. Step 4: Simplify right side
    166,033.50x = 129,302,091,396
  5. Step 5: Solve for x
    x = 129,302,091,396/166,033.50
  6. Step 6: Final answer
    x = 778,771.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.