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Finding the Third Proportional to 153,896 and 231,858

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Solution

The third proportional to 153,896 and 231,858 is: 349,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,896 : 231,858 = 231,858 : x
  2. Step 2: Convert to fraction form
    153,896/231,858 = 231,858/x
  3. Step 3: Cross multiply
    153,896x = 231,858 × 231,858
  4. Step 4: Simplify right side
    153,896x = 53,758,132,164
  5. Step 5: Solve for x
    x = 53,758,132,164/153,896
  6. Step 6: Final answer
    x = 349,314.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.