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Finding the Third Proportional to 161,229.75 and 341,658

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Solution

The third proportional to 161,229.75 and 341,658 is: 723,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,229.75 : 341,658 = 341,658 : x
  2. Step 2: Convert to fraction form
    161,229.75/341,658 = 341,658/x
  3. Step 3: Cross multiply
    161,229.75x = 341,658 × 341,658
  4. Step 4: Simplify right side
    161,229.75x = 116,730,188,964
  5. Step 5: Solve for x
    x = 116,730,188,964/161,229.75
  6. Step 6: Final answer
    x = 723,999.07

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.