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Finding the Third Proportional to 143,095 and 226,533

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Solution

The third proportional to 143,095 and 226,533 is: 358,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,095 : 226,533 = 226,533 : x
  2. Step 2: Convert to fraction form
    143,095/226,533 = 226,533/x
  3. Step 3: Cross multiply
    143,095x = 226,533 × 226,533
  4. Step 4: Simplify right side
    143,095x = 51,317,200,089
  5. Step 5: Solve for x
    x = 51,317,200,089/143,095
  6. Step 6: Final answer
    x = 358,623.29

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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.