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Finding the Third Proportional to 154,080.75 and 216,343.13

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Solution

The third proportional to 154,080.75 and 216,343.13 is: 303,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,080.75 : 216,343.13 = 216,343.13 : x
  2. Step 2: Convert to fraction form
    154,080.75/216,343.13 = 216,343.13/x
  3. Step 3: Cross multiply
    154,080.75x = 216,343.13 × 216,343.13
  4. Step 4: Simplify right side
    154,080.75x = 46,804,347,734.77
  5. Step 5: Solve for x
    x = 46,804,347,734.77/154,080.75
  6. Step 6: Final answer
    x = 303,765.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.