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Finding the Third Proportional to 235,192.50 and 354,975.75

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Solution

The third proportional to 235,192.50 and 354,975.75 is: 535,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,192.50 : 354,975.75 = 354,975.75 : x
  2. Step 2: Convert to fraction form
    235,192.50/354,975.75 = 354,975.75/x
  3. Step 3: Cross multiply
    235,192.50x = 354,975.75 × 354,975.75
  4. Step 4: Simplify right side
    235,192.50x = 126,007,783,088.06
  5. Step 5: Solve for x
    x = 126,007,783,088.06/235,192.50
  6. Step 6: Final answer
    x = 535,764.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.