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Finding the Third Proportional to 187,962 and 423,240

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Solution

The third proportional to 187,962 and 423,240 is: 953,022.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,962 : 423,240 = 423,240 : x
  2. Step 2: Convert to fraction form
    187,962/423,240 = 423,240/x
  3. Step 3: Cross multiply
    187,962x = 423,240 × 423,240
  4. Step 4: Simplify right side
    187,962x = 179,132,097,600
  5. Step 5: Solve for x
    x = 179,132,097,600/187,962
  6. Step 6: Final answer
    x = 953,022.94

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.