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Finding the Third Proportional to 234,560 and 377,674

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Solution

The third proportional to 234,560 and 377,674 is: 608,107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,560 : 377,674 = 377,674 : x
  2. Step 2: Convert to fraction form
    234,560/377,674 = 377,674/x
  3. Step 3: Cross multiply
    234,560x = 377,674 × 377,674
  4. Step 4: Simplify right side
    234,560x = 142,637,650,276
  5. Step 5: Solve for x
    x = 142,637,650,276/234,560
  6. Step 6: Final answer
    x = 608,107.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.