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Finding the Third Proportional to 140,232 and 306,168

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Solution

The third proportional to 140,232 and 306,168 is: 668,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,232 : 306,168 = 306,168 : x
  2. Step 2: Convert to fraction form
    140,232/306,168 = 306,168/x
  3. Step 3: Cross multiply
    140,232x = 306,168 × 306,168
  4. Step 4: Simplify right side
    140,232x = 93,738,844,224
  5. Step 5: Solve for x
    x = 93,738,844,224/140,232
  6. Step 6: Final answer
    x = 668,455.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.