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Finding the Third Proportional to 232,984 and 349,107

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Solution

The third proportional to 232,984 and 349,107 is: 523,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,984 : 349,107 = 349,107 : x
  2. Step 2: Convert to fraction form
    232,984/349,107 = 349,107/x
  3. Step 3: Cross multiply
    232,984x = 349,107 × 349,107
  4. Step 4: Simplify right side
    232,984x = 121,875,697,449
  5. Step 5: Solve for x
    x = 121,875,697,449/232,984
  6. Step 6: Final answer
    x = 523,107.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.