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Finding the Third Proportional to 228,435.75 and 336,030.75

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Solution

The third proportional to 228,435.75 and 336,030.75 is: 494,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,435.75 : 336,030.75 = 336,030.75 : x
  2. Step 2: Convert to fraction form
    228,435.75/336,030.75 = 336,030.75/x
  3. Step 3: Cross multiply
    228,435.75x = 336,030.75 × 336,030.75
  4. Step 4: Simplify right side
    228,435.75x = 112,916,664,945.56
  5. Step 5: Solve for x
    x = 112,916,664,945.56/228,435.75
  6. Step 6: Final answer
    x = 494,303.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.