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Finding the Third Proportional to 189,232 and 283,877

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Solution

The third proportional to 189,232 and 283,877 is: 425,859.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,232 : 283,877 = 283,877 : x
  2. Step 2: Convert to fraction form
    189,232/283,877 = 283,877/x
  3. Step 3: Cross multiply
    189,232x = 283,877 × 283,877
  4. Step 4: Simplify right side
    189,232x = 80,586,151,129
  5. Step 5: Solve for x
    x = 80,586,151,129/189,232
  6. Step 6: Final answer
    x = 425,859.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.