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Finding the Third Proportional to 157,922 and 231,987

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Solution

The third proportional to 157,922 and 231,987 is: 340,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,922 : 231,987 = 231,987 : x
  2. Step 2: Convert to fraction form
    157,922/231,987 = 231,987/x
  3. Step 3: Cross multiply
    157,922x = 231,987 × 231,987
  4. Step 4: Simplify right side
    157,922x = 53,817,968,169
  5. Step 5: Solve for x
    x = 53,817,968,169/157,922
  6. Step 6: Final answer
    x = 340,788.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.