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Finding the Third Proportional to 216,242 and 344,349

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Solution

The third proportional to 216,242 and 344,349 is: 548,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,242 : 344,349 = 344,349 : x
  2. Step 2: Convert to fraction form
    216,242/344,349 = 344,349/x
  3. Step 3: Cross multiply
    216,242x = 344,349 × 344,349
  4. Step 4: Simplify right side
    216,242x = 118,576,233,801
  5. Step 5: Solve for x
    x = 118,576,233,801/216,242
  6. Step 6: Final answer
    x = 548,349.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.