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Finding the Third Proportional to 165,477.09 and 357,198.19

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Solution

The third proportional to 165,477.09 and 357,198.19 is: 771,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,477.09 : 357,198.19 = 357,198.19 : x
  2. Step 2: Convert to fraction form
    165,477.09/357,198.19 = 357,198.19/x
  3. Step 3: Cross multiply
    165,477.09x = 357,198.19 × 357,198.19
  4. Step 4: Simplify right side
    165,477.09x = 127,590,545,153.29
  5. Step 5: Solve for x
    x = 127,590,545,153.29/165,477.09
  6. Step 6: Final answer
    x = 771,046.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.