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Finding the Third Proportional to 245,733.75 and 370,336.50

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Solution

The third proportional to 245,733.75 and 370,336.50 is: 558,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,733.75 : 370,336.50 = 370,336.50 : x
  2. Step 2: Convert to fraction form
    245,733.75/370,336.50 = 370,336.50/x
  3. Step 3: Cross multiply
    245,733.75x = 370,336.50 × 370,336.50
  4. Step 4: Simplify right side
    245,733.75x = 137,149,123,232.25
  5. Step 5: Solve for x
    x = 137,149,123,232.25/245,733.75
  6. Step 6: Final answer
    x = 558,120.82

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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.