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Finding the Third Proportional to 231,033.75 and 354,964.50

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Solution

The third proportional to 231,033.75 and 354,964.50 is: 545,373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,033.75 : 354,964.50 = 354,964.50 : x
  2. Step 2: Convert to fraction form
    231,033.75/354,964.50 = 354,964.50/x
  3. Step 3: Cross multiply
    231,033.75x = 354,964.50 × 354,964.50
  4. Step 4: Simplify right side
    231,033.75x = 125,999,796,260.25
  5. Step 5: Solve for x
    x = 125,999,796,260.25/231,033.75
  6. Step 6: Final answer
    x = 545,373.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.