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Finding the Third Proportional to 160,708.22 and 345,602.53

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Solution

The third proportional to 160,708.22 and 345,602.53 is: 743,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,708.22 : 345,602.53 = 345,602.53 : x
  2. Step 2: Convert to fraction form
    160,708.22/345,602.53 = 345,602.53/x
  3. Step 3: Cross multiply
    160,708.22x = 345,602.53 × 345,602.53
  4. Step 4: Simplify right side
    160,708.22x = 119,441,109,606.41
  5. Step 5: Solve for x
    x = 119,441,109,606.41/160,708.22
  6. Step 6: Final answer
    x = 743,217.18

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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.