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Finding the Third Proportional to 114,768 and 247,664

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Solution

The third proportional to 114,768 and 247,664 is: 534,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,768 : 247,664 = 247,664 : x
  2. Step 2: Convert to fraction form
    114,768/247,664 = 247,664/x
  3. Step 3: Cross multiply
    114,768x = 247,664 × 247,664
  4. Step 4: Simplify right side
    114,768x = 61,337,456,896
  5. Step 5: Solve for x
    x = 61,337,456,896/114,768
  6. Step 6: Final answer
    x = 534,447.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.