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Finding the Third Proportional to 187,844 and 407,532

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Solution

The third proportional to 187,844 and 407,532 is: 884,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,844 : 407,532 = 407,532 : x
  2. Step 2: Convert to fraction form
    187,844/407,532 = 407,532/x
  3. Step 3: Cross multiply
    187,844x = 407,532 × 407,532
  4. Step 4: Simplify right side
    187,844x = 166,082,331,024
  5. Step 5: Solve for x
    x = 166,082,331,024/187,844
  6. Step 6: Final answer
    x = 884,150.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.