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Finding the Third Proportional to 231,351 and 349,944

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Solution

The third proportional to 231,351 and 349,944 is: 529,329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,351 : 349,944 = 349,944 : x
  2. Step 2: Convert to fraction form
    231,351/349,944 = 349,944/x
  3. Step 3: Cross multiply
    231,351x = 349,944 × 349,944
  4. Step 4: Simplify right side
    231,351x = 122,460,803,136
  5. Step 5: Solve for x
    x = 122,460,803,136/231,351
  6. Step 6: Final answer
    x = 529,329.04

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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.