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Finding the Third Proportional to 143,091 and 226,521

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Solution

The third proportional to 143,091 and 226,521 is: 358,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,091 : 226,521 = 226,521 : x
  2. Step 2: Convert to fraction form
    143,091/226,521 = 226,521/x
  3. Step 3: Cross multiply
    143,091x = 226,521 × 226,521
  4. Step 4: Simplify right side
    143,091x = 51,311,763,441
  5. Step 5: Solve for x
    x = 51,311,763,441/143,091
  6. Step 6: Final answer
    x = 358,595.32

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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.