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Finding the Third Proportional to 234,166 and 334,617

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Solution

The third proportional to 234,166 and 334,617 is: 478,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,166 : 334,617 = 334,617 : x
  2. Step 2: Convert to fraction form
    234,166/334,617 = 334,617/x
  3. Step 3: Cross multiply
    234,166x = 334,617 × 334,617
  4. Step 4: Simplify right side
    234,166x = 111,968,536,689
  5. Step 5: Solve for x
    x = 111,968,536,689/234,166
  6. Step 6: Final answer
    x = 478,158.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.