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Finding the Third Proportional to 140,233.50 and 306,160.88

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Solution

The third proportional to 140,233.50 and 306,160.88 is: 668,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,233.50 : 306,160.88 = 306,160.88 : x
  2. Step 2: Convert to fraction form
    140,233.50/306,160.88 = 306,160.88/x
  3. Step 3: Cross multiply
    140,233.50x = 306,160.88 × 306,160.88
  4. Step 4: Simplify right side
    140,233.50x = 93,734,481,380.77
  5. Step 5: Solve for x
    x = 93,734,481,380.77/140,233.50
  6. Step 6: Final answer
    x = 668,417.19

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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.