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Finding the Third Proportional to 231,358 and 349,954

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Solution

The third proportional to 231,358 and 349,954 is: 529,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,358 : 349,954 = 349,954 : x
  2. Step 2: Convert to fraction form
    231,358/349,954 = 349,954/x
  3. Step 3: Cross multiply
    231,358x = 349,954 × 349,954
  4. Step 4: Simplify right side
    231,358x = 122,467,802,116
  5. Step 5: Solve for x
    x = 122,467,802,116/231,358
  6. Step 6: Final answer
    x = 529,343.28

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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.