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Finding the Third Proportional to 116,626 and 243,606

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Solution

The third proportional to 116,626 and 243,606 is: 508,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,626 : 243,606 = 243,606 : x
  2. Step 2: Convert to fraction form
    116,626/243,606 = 243,606/x
  3. Step 3: Cross multiply
    116,626x = 243,606 × 243,606
  4. Step 4: Simplify right side
    116,626x = 59,343,883,236
  5. Step 5: Solve for x
    x = 59,343,883,236/116,626
  6. Step 6: Final answer
    x = 508,839.22

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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.