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Finding the Third Proportional to 226,094 and 359,898

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Solution

The third proportional to 226,094 and 359,898 is: 572,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,094 : 359,898 = 359,898 : x
  2. Step 2: Convert to fraction form
    226,094/359,898 = 359,898/x
  3. Step 3: Cross multiply
    226,094x = 359,898 × 359,898
  4. Step 4: Simplify right side
    226,094x = 129,526,570,404
  5. Step 5: Solve for x
    x = 129,526,570,404/226,094
  6. Step 6: Final answer
    x = 572,888.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.