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Finding the Third Proportional to 234,144 and 348,624

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Solution

The third proportional to 234,144 and 348,624 is: 519,076.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,144 : 348,624 = 348,624 : x
  2. Step 2: Convert to fraction form
    234,144/348,624 = 348,624/x
  3. Step 3: Cross multiply
    234,144x = 348,624 × 348,624
  4. Step 4: Simplify right side
    234,144x = 121,538,693,376
  5. Step 5: Solve for x
    x = 121,538,693,376/234,144
  6. Step 6: Final answer
    x = 519,076.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.