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Finding the Third Proportional to 186,219.63 and 251,496.46

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Solution

The third proportional to 186,219.63 and 251,496.46 is: 339,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,219.63 : 251,496.46 = 251,496.46 : x
  2. Step 2: Convert to fraction form
    186,219.63/251,496.46 = 251,496.46/x
  3. Step 3: Cross multiply
    186,219.63x = 251,496.46 × 251,496.46
  4. Step 4: Simplify right side
    186,219.63x = 63,250,467,899.27
  5. Step 5: Solve for x
    x = 63,250,467,899.27/186,219.63
  6. Step 6: Final answer
    x = 339,655.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.