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Finding the Third Proportional to 188,003 and 432,877

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Solution

The third proportional to 188,003 and 432,877 is: 996,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,003 : 432,877 = 432,877 : x
  2. Step 2: Convert to fraction form
    188,003/432,877 = 432,877/x
  3. Step 3: Cross multiply
    188,003x = 432,877 × 432,877
  4. Step 4: Simplify right side
    188,003x = 187,382,497,129
  5. Step 5: Solve for x
    x = 187,382,497,129/188,003
  6. Step 6: Final answer
    x = 996,699.51

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.