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Finding the Third Proportional to 147,900 and 231,702

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Solution

The third proportional to 147,900 and 231,702 is: 362,987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,900 : 231,702 = 231,702 : x
  2. Step 2: Convert to fraction form
    147,900/231,702 = 231,702/x
  3. Step 3: Cross multiply
    147,900x = 231,702 × 231,702
  4. Step 4: Simplify right side
    147,900x = 53,685,816,804
  5. Step 5: Solve for x
    x = 53,685,816,804/147,900
  6. Step 6: Final answer
    x = 362,987.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.