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Finding the Third Proportional to 214,165.50 and 476,202

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Solution

The third proportional to 214,165.50 and 476,202 is: 1,058,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,165.50 : 476,202 = 476,202 : x
  2. Step 2: Convert to fraction form
    214,165.50/476,202 = 476,202/x
  3. Step 3: Cross multiply
    214,165.50x = 476,202 × 476,202
  4. Step 4: Simplify right side
    214,165.50x = 226,768,344,804
  5. Step 5: Solve for x
    x = 226,768,344,804/214,165.50
  6. Step 6: Final answer
    x = 1,058,846.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.