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Finding the Third Proportional to 146,000 and 310,819

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Solution

The third proportional to 146,000 and 310,819 is: 661,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,000 : 310,819 = 310,819 : x
  2. Step 2: Convert to fraction form
    146,000/310,819 = 310,819/x
  3. Step 3: Cross multiply
    146,000x = 310,819 × 310,819
  4. Step 4: Simplify right side
    146,000x = 96,608,450,761
  5. Step 5: Solve for x
    x = 96,608,450,761/146,000
  6. Step 6: Final answer
    x = 661,701.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.