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Finding the Third Proportional to 147,980 and 231,887

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Solution

The third proportional to 147,980 and 231,887 is: 363,370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,980 : 231,887 = 231,887 : x
  2. Step 2: Convert to fraction form
    147,980/231,887 = 231,887/x
  3. Step 3: Cross multiply
    147,980x = 231,887 × 231,887
  4. Step 4: Simplify right side
    147,980x = 53,771,580,769
  5. Step 5: Solve for x
    x = 53,771,580,769/147,980
  6. Step 6: Final answer
    x = 363,370.60

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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.