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Finding the Third Proportional to 160,588 and 345,840

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Solution

The third proportional to 160,588 and 345,840 is: 744,796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,588 : 345,840 = 345,840 : x
  2. Step 2: Convert to fraction form
    160,588/345,840 = 345,840/x
  3. Step 3: Cross multiply
    160,588x = 345,840 × 345,840
  4. Step 4: Simplify right side
    160,588x = 119,605,305,600
  5. Step 5: Solve for x
    x = 119,605,305,600/160,588
  6. Step 6: Final answer
    x = 744,796.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.