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Finding the Third Proportional to 161,134 and 345,604

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Solution

The third proportional to 161,134 and 345,604 is: 741,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,134 : 345,604 = 345,604 : x
  2. Step 2: Convert to fraction form
    161,134/345,604 = 345,604/x
  3. Step 3: Cross multiply
    161,134x = 345,604 × 345,604
  4. Step 4: Simplify right side
    161,134x = 119,442,124,816
  5. Step 5: Solve for x
    x = 119,442,124,816/161,134
  6. Step 6: Final answer
    x = 741,259.60

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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.