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Finding the Third Proportional to 124,944 and 264,378

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Solution

The third proportional to 124,944 and 264,378 is: 559,416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,944 : 264,378 = 264,378 : x
  2. Step 2: Convert to fraction form
    124,944/264,378 = 264,378/x
  3. Step 3: Cross multiply
    124,944x = 264,378 × 264,378
  4. Step 4: Simplify right side
    124,944x = 69,895,726,884
  5. Step 5: Solve for x
    x = 69,895,726,884/124,944
  6. Step 6: Final answer
    x = 559,416.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.