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Finding the Third Proportional to 154,998.56 and 237,114.84

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Solution

The third proportional to 154,998.56 and 237,114.84 is: 362,735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,998.56 : 237,114.84 = 237,114.84 : x
  2. Step 2: Convert to fraction form
    154,998.56/237,114.84 = 237,114.84/x
  3. Step 3: Cross multiply
    154,998.56x = 237,114.84 × 237,114.84
  4. Step 4: Simplify right side
    154,998.56x = 56,223,449,126.59
  5. Step 5: Solve for x
    x = 56,223,449,126.59/154,998.56
  6. Step 6: Final answer
    x = 362,735.29

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Why These Related Problems?

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