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Finding the Third Proportional to 161,230.50 and 341,669

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Solution

The third proportional to 161,230.50 and 341,669 is: 724,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,230.50 : 341,669 = 341,669 : x
  2. Step 2: Convert to fraction form
    161,230.50/341,669 = 341,669/x
  3. Step 3: Cross multiply
    161,230.50x = 341,669 × 341,669
  4. Step 4: Simplify right side
    161,230.50x = 116,737,705,561
  5. Step 5: Solve for x
    x = 116,737,705,561/161,230.50
  6. Step 6: Final answer
    x = 724,042.32

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Why These Related Problems?

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