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Finding the Third Proportional to 126,457.50 and 264,606.75

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Solution

The third proportional to 126,457.50 and 264,606.75 is: 553,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,457.50 : 264,606.75 = 264,606.75 : x
  2. Step 2: Convert to fraction form
    126,457.50/264,606.75 = 264,606.75/x
  3. Step 3: Cross multiply
    126,457.50x = 264,606.75 × 264,606.75
  4. Step 4: Simplify right side
    126,457.50x = 70,016,732,145.56
  5. Step 5: Solve for x
    x = 70,016,732,145.56/126,457.50
  6. Step 6: Final answer
    x = 553,677.97

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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.