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Finding the Third Proportional to 264,881.81 and 340,107.19

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Solution

The third proportional to 264,881.81 and 340,107.19 is: 436,696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,881.81 : 340,107.19 = 340,107.19 : x
  2. Step 2: Convert to fraction form
    264,881.81/340,107.19 = 340,107.19/x
  3. Step 3: Cross multiply
    264,881.81x = 340,107.19 × 340,107.19
  4. Step 4: Simplify right side
    264,881.81x = 115,672,898,989.16
  5. Step 5: Solve for x
    x = 115,672,898,989.16/264,881.81
  6. Step 6: Final answer
    x = 436,696.27

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.