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Finding the Third Proportional to 143,044 and 304,568

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Solution

The third proportional to 143,044 and 304,568 is: 648,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,044 : 304,568 = 304,568 : x
  2. Step 2: Convert to fraction form
    143,044/304,568 = 304,568/x
  3. Step 3: Cross multiply
    143,044x = 304,568 × 304,568
  4. Step 4: Simplify right side
    143,044x = 92,761,666,624
  5. Step 5: Solve for x
    x = 92,761,666,624/143,044
  6. Step 6: Final answer
    x = 648,483.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.