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Finding the Third Proportional to 161,568.75 and 345,128.25

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Solution

The third proportional to 161,568.75 and 345,128.25 is: 737,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,568.75 : 345,128.25 = 345,128.25 : x
  2. Step 2: Convert to fraction form
    161,568.75/345,128.25 = 345,128.25/x
  3. Step 3: Cross multiply
    161,568.75x = 345,128.25 × 345,128.25
  4. Step 4: Simplify right side
    161,568.75x = 119,113,508,948.06
  5. Step 5: Solve for x
    x = 119,113,508,948.06/161,568.75
  6. Step 6: Final answer
    x = 737,231.11

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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.