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Finding the Third Proportional to 239,880 and 352,044

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Solution

The third proportional to 239,880 and 352,044 is: 516,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,880 : 352,044 = 352,044 : x
  2. Step 2: Convert to fraction form
    239,880/352,044 = 352,044/x
  3. Step 3: Cross multiply
    239,880x = 352,044 × 352,044
  4. Step 4: Simplify right side
    239,880x = 123,934,977,936
  5. Step 5: Solve for x
    x = 123,934,977,936/239,880
  6. Step 6: Final answer
    x = 516,654.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.