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Finding the Third Proportional to 164,740.50 and 359,694

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Solution

The third proportional to 164,740.50 and 359,694 is: 785,354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,740.50 : 359,694 = 359,694 : x
  2. Step 2: Convert to fraction form
    164,740.50/359,694 = 359,694/x
  3. Step 3: Cross multiply
    164,740.50x = 359,694 × 359,694
  4. Step 4: Simplify right side
    164,740.50x = 129,379,773,636
  5. Step 5: Solve for x
    x = 129,379,773,636/164,740.50
  6. Step 6: Final answer
    x = 785,354.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.