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Finding the Third Proportional to 234,545 and 512,107

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Solution

The third proportional to 234,545 and 512,107 is: 1,118,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,545 : 512,107 = 512,107 : x
  2. Step 2: Convert to fraction form
    234,545/512,107 = 512,107/x
  3. Step 3: Cross multiply
    234,545x = 512,107 × 512,107
  4. Step 4: Simplify right side
    234,545x = 262,253,579,449
  5. Step 5: Solve for x
    x = 262,253,579,449/234,545
  6. Step 6: Final answer
    x = 1,118,137.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.