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Finding the Third Proportional to 150,376.50 and 329,457

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Solution

The third proportional to 150,376.50 and 329,457 is: 721,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,376.50 : 329,457 = 329,457 : x
  2. Step 2: Convert to fraction form
    150,376.50/329,457 = 329,457/x
  3. Step 3: Cross multiply
    150,376.50x = 329,457 × 329,457
  4. Step 4: Simplify right side
    150,376.50x = 108,541,914,849
  5. Step 5: Solve for x
    x = 108,541,914,849/150,376.50
  6. Step 6: Final answer
    x = 721,801.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.