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Finding the Third Proportional to 234,582 and 512,166

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Solution

The third proportional to 234,582 and 512,166 is: 1,118,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,582 : 512,166 = 512,166 : x
  2. Step 2: Convert to fraction form
    234,582/512,166 = 512,166/x
  3. Step 3: Cross multiply
    234,582x = 512,166 × 512,166
  4. Step 4: Simplify right side
    234,582x = 262,314,011,556
  5. Step 5: Solve for x
    x = 262,314,011,556/234,582
  6. Step 6: Final answer
    x = 1,118,218.84

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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.