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Finding the Third Proportional to 154,977 and 237,055.50

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Solution

The third proportional to 154,977 and 237,055.50 is: 362,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,977 : 237,055.50 = 237,055.50 : x
  2. Step 2: Convert to fraction form
    154,977/237,055.50 = 237,055.50/x
  3. Step 3: Cross multiply
    154,977x = 237,055.50 × 237,055.50
  4. Step 4: Simplify right side
    154,977x = 56,195,310,080.25
  5. Step 5: Solve for x
    x = 56,195,310,080.25/154,977
  6. Step 6: Final answer
    x = 362,604.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.