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Finding the Third Proportional to 114,482 and 248,669

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Solution

The third proportional to 114,482 and 248,669 is: 540,139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,482 : 248,669 = 248,669 : x
  2. Step 2: Convert to fraction form
    114,482/248,669 = 248,669/x
  3. Step 3: Cross multiply
    114,482x = 248,669 × 248,669
  4. Step 4: Simplify right side
    114,482x = 61,836,271,561
  5. Step 5: Solve for x
    x = 61,836,271,561/114,482
  6. Step 6: Final answer
    x = 540,139.69

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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.