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Finding the Third Proportional to 210,589.50 and 450,123

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Solution

The third proportional to 210,589.50 and 450,123 is: 962,112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,589.50 : 450,123 = 450,123 : x
  2. Step 2: Convert to fraction form
    210,589.50/450,123 = 450,123/x
  3. Step 3: Cross multiply
    210,589.50x = 450,123 × 450,123
  4. Step 4: Simplify right side
    210,589.50x = 202,610,715,129
  5. Step 5: Solve for x
    x = 202,610,715,129/210,589.50
  6. Step 6: Final answer
    x = 962,112.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.