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Finding the Third Proportional to 264,832.88 and 340,036.31

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Solution

The third proportional to 264,832.88 and 340,036.31 is: 436,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,832.88 : 340,036.31 = 340,036.31 : x
  2. Step 2: Convert to fraction form
    264,832.88/340,036.31 = 340,036.31/x
  3. Step 3: Cross multiply
    264,832.88x = 340,036.31 × 340,036.31
  4. Step 4: Simplify right side
    264,832.88x = 115,624,693,818.60
  5. Step 5: Solve for x
    x = 115,624,693,818.60/264,832.88
  6. Step 6: Final answer
    x = 436,594.94

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Why These Related Problems?

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