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Finding the Third Proportional to 160,608 and 345,882

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Solution

The third proportional to 160,608 and 345,882 is: 744,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,608 : 345,882 = 345,882 : x
  2. Step 2: Convert to fraction form
    160,608/345,882 = 345,882/x
  3. Step 3: Cross multiply
    160,608x = 345,882 × 345,882
  4. Step 4: Simplify right side
    160,608x = 119,634,357,924
  5. Step 5: Solve for x
    x = 119,634,357,924/160,608
  6. Step 6: Final answer
    x = 744,884.18

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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.