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Finding the Third Proportional to 143,604 and 225,862

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Solution

The third proportional to 143,604 and 225,862 is: 355,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,604 : 225,862 = 225,862 : x
  2. Step 2: Convert to fraction form
    143,604/225,862 = 225,862/x
  3. Step 3: Cross multiply
    143,604x = 225,862 × 225,862
  4. Step 4: Simplify right side
    143,604x = 51,013,643,044
  5. Step 5: Solve for x
    x = 51,013,643,044/143,604
  6. Step 6: Final answer
    x = 355,238.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.