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Finding the Third Proportional to 238,302 and 349,434

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Solution

The third proportional to 238,302 and 349,434 is: 512,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,302 : 349,434 = 349,434 : x
  2. Step 2: Convert to fraction form
    238,302/349,434 = 349,434/x
  3. Step 3: Cross multiply
    238,302x = 349,434 × 349,434
  4. Step 4: Simplify right side
    238,302x = 122,104,120,356
  5. Step 5: Solve for x
    x = 122,104,120,356/238,302
  6. Step 6: Final answer
    x = 512,392.34

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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.