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Finding the Third Proportional to 155,130 and 335,016

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Solution

The third proportional to 155,130 and 335,016 is: 723,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,130 : 335,016 = 335,016 : x
  2. Step 2: Convert to fraction form
    155,130/335,016 = 335,016/x
  3. Step 3: Cross multiply
    155,130x = 335,016 × 335,016
  4. Step 4: Simplify right side
    155,130x = 112,235,720,256
  5. Step 5: Solve for x
    x = 112,235,720,256/155,130
  6. Step 6: Final answer
    x = 723,494.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.