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Finding the Third Proportional to 161,019 and 236,605.50

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Solution

The third proportional to 161,019 and 236,605.50 is: 347,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,019 : 236,605.50 = 236,605.50 : x
  2. Step 2: Convert to fraction form
    161,019/236,605.50 = 236,605.50/x
  3. Step 3: Cross multiply
    161,019x = 236,605.50 × 236,605.50
  4. Step 4: Simplify right side
    161,019x = 55,982,162,630.25
  5. Step 5: Solve for x
    x = 55,982,162,630.25/161,019
  6. Step 6: Final answer
    x = 347,674.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.