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Finding the Third Proportional to 146,723.91 and 309,209.91

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Solution

The third proportional to 146,723.91 and 309,209.91 is: 651,637.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,723.91 : 309,209.91 = 309,209.91 : x
  2. Step 2: Convert to fraction form
    146,723.91/309,209.91 = 309,209.91/x
  3. Step 3: Cross multiply
    146,723.91x = 309,209.91 × 309,209.91
  4. Step 4: Simplify right side
    146,723.91x = 95,610,766,123.13
  5. Step 5: Solve for x
    x = 95,610,766,123.13/146,723.91
  6. Step 6: Final answer
    x = 651,637.27

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.