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Finding the Third Proportional to 234,824 and 357,309

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Solution

The third proportional to 234,824 and 357,309 is: 543,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,824 : 357,309 = 357,309 : x
  2. Step 2: Convert to fraction form
    234,824/357,309 = 357,309/x
  3. Step 3: Cross multiply
    234,824x = 357,309 × 357,309
  4. Step 4: Simplify right side
    234,824x = 127,669,721,481
  5. Step 5: Solve for x
    x = 127,669,721,481/234,824
  6. Step 6: Final answer
    x = 543,682.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.