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Finding the Third Proportional to 189,326 and 402,024

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Solution

The third proportional to 189,326 and 402,024 is: 853,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,326 : 402,024 = 402,024 : x
  2. Step 2: Convert to fraction form
    189,326/402,024 = 402,024/x
  3. Step 3: Cross multiply
    189,326x = 402,024 × 402,024
  4. Step 4: Simplify right side
    189,326x = 161,623,296,576
  5. Step 5: Solve for x
    x = 161,623,296,576/189,326
  6. Step 6: Final answer
    x = 853,677.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.