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Finding the Third Proportional to 126,456.75 and 264,603.38

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Solution

The third proportional to 126,456.75 and 264,603.38 is: 553,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,456.75 : 264,603.38 = 264,603.38 : x
  2. Step 2: Convert to fraction form
    126,456.75/264,603.38 = 264,603.38/x
  3. Step 3: Cross multiply
    126,456.75x = 264,603.38 × 264,603.38
  4. Step 4: Simplify right side
    126,456.75x = 70,014,946,061.39
  5. Step 5: Solve for x
    x = 70,014,946,061.39/126,456.75
  6. Step 6: Final answer
    x = 553,667.13

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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.