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Finding the Third Proportional to 161,584 and 345,160

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Solution

The third proportional to 161,584 and 345,160 is: 737,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,584 : 345,160 = 345,160 : x
  2. Step 2: Convert to fraction form
    161,584/345,160 = 345,160/x
  3. Step 3: Cross multiply
    161,584x = 345,160 × 345,160
  4. Step 4: Simplify right side
    161,584x = 119,135,425,600
  5. Step 5: Solve for x
    x = 119,135,425,600/161,584
  6. Step 6: Final answer
    x = 737,297.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.