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Finding the Third Proportional to 249,450.75 and 384,018.75

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Solution

The third proportional to 249,450.75 and 384,018.75 is: 591,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,450.75 : 384,018.75 = 384,018.75 : x
  2. Step 2: Convert to fraction form
    249,450.75/384,018.75 = 384,018.75/x
  3. Step 3: Cross multiply
    249,450.75x = 384,018.75 × 384,018.75
  4. Step 4: Simplify right side
    249,450.75x = 147,470,400,351.56
  5. Step 5: Solve for x
    x = 147,470,400,351.56/249,450.75
  6. Step 6: Final answer
    x = 591,180.42

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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.