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Finding the Third Proportional to 115,548 and 240,168

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Solution

The third proportional to 115,548 and 240,168 is: 499,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,548 : 240,168 = 240,168 : x
  2. Step 2: Convert to fraction form
    115,548/240,168 = 240,168/x
  3. Step 3: Cross multiply
    115,548x = 240,168 × 240,168
  4. Step 4: Simplify right side
    115,548x = 57,680,668,224
  5. Step 5: Solve for x
    x = 57,680,668,224/115,548
  6. Step 6: Final answer
    x = 499,192.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.