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Finding the Third Proportional to 154,071 and 331,146

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Solution

The third proportional to 154,071 and 331,146 is: 711,734.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,071 : 331,146 = 331,146 : x
  2. Step 2: Convert to fraction form
    154,071/331,146 = 331,146/x
  3. Step 3: Cross multiply
    154,071x = 331,146 × 331,146
  4. Step 4: Simplify right side
    154,071x = 109,657,673,316
  5. Step 5: Solve for x
    x = 109,657,673,316/154,071
  6. Step 6: Final answer
    x = 711,734.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.