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Finding the Third Proportional to 303,159.75 and 660,141.75

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Solution

The third proportional to 303,159.75 and 660,141.75 is: 1,437,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,159.75 : 660,141.75 = 660,141.75 : x
  2. Step 2: Convert to fraction form
    303,159.75/660,141.75 = 660,141.75/x
  3. Step 3: Cross multiply
    303,159.75x = 660,141.75 × 660,141.75
  4. Step 4: Simplify right side
    303,159.75x = 435,787,130,093.06
  5. Step 5: Solve for x
    x = 435,787,130,093.06/303,159.75
  6. Step 6: Final answer
    x = 1,437,483.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.