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Finding the Third Proportional to 147,840 and 231,650

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Solution

The third proportional to 147,840 and 231,650 is: 362,971.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,840 : 231,650 = 231,650 : x
  2. Step 2: Convert to fraction form
    147,840/231,650 = 231,650/x
  3. Step 3: Cross multiply
    147,840x = 231,650 × 231,650
  4. Step 4: Simplify right side
    147,840x = 53,661,722,500
  5. Step 5: Solve for x
    x = 53,661,722,500/147,840
  6. Step 6: Final answer
    x = 362,971.61

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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.