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Finding the Third Proportional to 161,140 and 345,596

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Solution

The third proportional to 161,140 and 345,596 is: 741,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,140 : 345,596 = 345,596 : x
  2. Step 2: Convert to fraction form
    161,140/345,596 = 345,596/x
  3. Step 3: Cross multiply
    161,140x = 345,596 × 345,596
  4. Step 4: Simplify right side
    161,140x = 119,436,595,216
  5. Step 5: Solve for x
    x = 119,436,595,216/161,140
  6. Step 6: Final answer
    x = 741,197.69

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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.