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Finding the Third Proportional to 116,628 and 243,610

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Solution

The third proportional to 116,628 and 243,610 is: 508,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,628 : 243,610 = 243,610 : x
  2. Step 2: Convert to fraction form
    116,628/243,610 = 243,610/x
  3. Step 3: Cross multiply
    116,628x = 243,610 × 243,610
  4. Step 4: Simplify right side
    116,628x = 59,345,832,100
  5. Step 5: Solve for x
    x = 59,345,832,100/116,628
  6. Step 6: Final answer
    x = 508,847.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.