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Finding the Third Proportional to 114,484 and 248,673

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Solution

The third proportional to 114,484 and 248,673 is: 540,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,484 : 248,673 = 248,673 : x
  2. Step 2: Convert to fraction form
    114,484/248,673 = 248,673/x
  3. Step 3: Cross multiply
    114,484x = 248,673 × 248,673
  4. Step 4: Simplify right side
    114,484x = 61,838,260,929
  5. Step 5: Solve for x
    x = 61,838,260,929/114,484
  6. Step 6: Final answer
    x = 540,147.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.