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Finding the Third Proportional to 161,702 and 340,159

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Solution

The third proportional to 161,702 and 340,159 is: 715,564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,702 : 340,159 = 340,159 : x
  2. Step 2: Convert to fraction form
    161,702/340,159 = 340,159/x
  3. Step 3: Cross multiply
    161,702x = 340,159 × 340,159
  4. Step 4: Simplify right side
    161,702x = 115,708,145,281
  5. Step 5: Solve for x
    x = 115,708,145,281/161,702
  6. Step 6: Final answer
    x = 715,564.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.