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Finding the Third Proportional to 154,350.56 and 237,676.78

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Solution

The third proportional to 154,350.56 and 237,676.78 is: 365,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,350.56 : 237,676.78 = 237,676.78 : x
  2. Step 2: Convert to fraction form
    154,350.56/237,676.78 = 237,676.78/x
  3. Step 3: Cross multiply
    154,350.56x = 237,676.78 × 237,676.78
  4. Step 4: Simplify right side
    154,350.56x = 56,490,252,345.36
  5. Step 5: Solve for x
    x = 56,490,252,345.36/154,350.56
  6. Step 6: Final answer
    x = 365,986.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.