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Finding the Third Proportional to 161,665.50 and 244,735

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Solution

The third proportional to 161,665.50 and 244,735 is: 370,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,665.50 : 244,735 = 244,735 : x
  2. Step 2: Convert to fraction form
    161,665.50/244,735 = 244,735/x
  3. Step 3: Cross multiply
    161,665.50x = 244,735 × 244,735
  4. Step 4: Simplify right side
    161,665.50x = 59,895,220,225
  5. Step 5: Solve for x
    x = 59,895,220,225/161,665.50
  6. Step 6: Final answer
    x = 370,488.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.