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Finding the Third Proportional to 234,561 and 377,676

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Solution

The third proportional to 234,561 and 377,676 is: 608,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,561 : 377,676 = 377,676 : x
  2. Step 2: Convert to fraction form
    234,561/377,676 = 377,676/x
  3. Step 3: Cross multiply
    234,561x = 377,676 × 377,676
  4. Step 4: Simplify right side
    234,561x = 142,639,160,976
  5. Step 5: Solve for x
    x = 142,639,160,976/234,561
  6. Step 6: Final answer
    x = 608,111.16

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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.