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Finding the Third Proportional to 116,030 and 247,234

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Solution

The third proportional to 116,030 and 247,234 is: 526,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,030 : 247,234 = 247,234 : x
  2. Step 2: Convert to fraction form
    116,030/247,234 = 247,234/x
  3. Step 3: Cross multiply
    116,030x = 247,234 × 247,234
  4. Step 4: Simplify right side
    116,030x = 61,124,650,756
  5. Step 5: Solve for x
    x = 61,124,650,756/116,030
  6. Step 6: Final answer
    x = 526,800.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.