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Finding the Third Proportional to 156,448.50 and 336,476.25

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Solution

The third proportional to 156,448.50 and 336,476.25 is: 723,664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,448.50 : 336,476.25 = 336,476.25 : x
  2. Step 2: Convert to fraction form
    156,448.50/336,476.25 = 336,476.25/x
  3. Step 3: Cross multiply
    156,448.50x = 336,476.25 × 336,476.25
  4. Step 4: Simplify right side
    156,448.50x = 113,216,266,814.06
  5. Step 5: Solve for x
    x = 113,216,266,814.06/156,448.50
  6. Step 6: Final answer
    x = 723,664.76

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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.