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Finding the Third Proportional to 142,580.25 and 303,507

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Solution

The third proportional to 142,580.25 and 303,507 is: 646,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,580.25 : 303,507 = 303,507 : x
  2. Step 2: Convert to fraction form
    142,580.25/303,507 = 303,507/x
  3. Step 3: Cross multiply
    142,580.25x = 303,507 × 303,507
  4. Step 4: Simplify right side
    142,580.25x = 92,116,499,049
  5. Step 5: Solve for x
    x = 92,116,499,049/142,580.25
  6. Step 6: Final answer
    x = 646,067.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.