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Finding the Third Proportional to 116,014 and 247,202

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Solution

The third proportional to 116,014 and 247,202 is: 526,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,014 : 247,202 = 247,202 : x
  2. Step 2: Convert to fraction form
    116,014/247,202 = 247,202/x
  3. Step 3: Cross multiply
    116,014x = 247,202 × 247,202
  4. Step 4: Simplify right side
    116,014x = 61,108,828,804
  5. Step 5: Solve for x
    x = 61,108,828,804/116,014
  6. Step 6: Final answer
    x = 526,736.68

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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.