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Finding the Third Proportional to 234,810 and 334,575

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Solution

The third proportional to 234,810 and 334,575 is: 476,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,810 : 334,575 = 334,575 : x
  2. Step 2: Convert to fraction form
    234,810/334,575 = 334,575/x
  3. Step 3: Cross multiply
    234,810x = 334,575 × 334,575
  4. Step 4: Simplify right side
    234,810x = 111,940,430,625
  5. Step 5: Solve for x
    x = 111,940,430,625/234,810
  6. Step 6: Final answer
    x = 476,727.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.