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Finding the Third Proportional to 143,656 and 226,576

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Solution

The third proportional to 143,656 and 226,576 is: 357,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,656 : 226,576 = 226,576 : x
  2. Step 2: Convert to fraction form
    143,656/226,576 = 226,576/x
  3. Step 3: Cross multiply
    143,656x = 226,576 × 226,576
  4. Step 4: Simplify right side
    143,656x = 51,336,683,776
  5. Step 5: Solve for x
    x = 51,336,683,776/143,656
  6. Step 6: Final answer
    x = 357,358.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.