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Finding the Third Proportional to 145,437 and 303,327.75

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Solution

The third proportional to 145,437 and 303,327.75 is: 632,629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,437 : 303,327.75 = 303,327.75 : x
  2. Step 2: Convert to fraction form
    145,437/303,327.75 = 303,327.75/x
  3. Step 3: Cross multiply
    145,437x = 303,327.75 × 303,327.75
  4. Step 4: Simplify right side
    145,437x = 92,007,723,920.06
  5. Step 5: Solve for x
    x = 92,007,723,920.06/145,437
  6. Step 6: Final answer
    x = 632,629.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.