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Finding the Third Proportional to 303,151.50 and 660,123.56

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Solution

The third proportional to 303,151.50 and 660,123.56 is: 1,437,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,151.50 : 660,123.56 = 660,123.56 : x
  2. Step 2: Convert to fraction form
    303,151.50/660,123.56 = 660,123.56/x
  3. Step 3: Cross multiply
    303,151.50x = 660,123.56 × 660,123.56
  4. Step 4: Simplify right side
    303,151.50x = 435,763,117,767.69
  5. Step 5: Solve for x
    x = 435,763,117,767.69/303,151.50
  6. Step 6: Final answer
    x = 1,437,443.38

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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.