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Finding the Third Proportional to 116,234 and 252,024

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Solution

The third proportional to 116,234 and 252,024 is: 546,450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,234 : 252,024 = 252,024 : x
  2. Step 2: Convert to fraction form
    116,234/252,024 = 252,024/x
  3. Step 3: Cross multiply
    116,234x = 252,024 × 252,024
  4. Step 4: Simplify right side
    116,234x = 63,516,096,576
  5. Step 5: Solve for x
    x = 63,516,096,576/116,234
  6. Step 6: Final answer
    x = 546,450.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.