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Finding the Third Proportional to 226,100 and 359,908

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Solution

The third proportional to 226,100 and 359,908 is: 572,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,100 : 359,908 = 359,908 : x
  2. Step 2: Convert to fraction form
    226,100/359,908 = 359,908/x
  3. Step 3: Cross multiply
    226,100x = 359,908 × 359,908
  4. Step 4: Simplify right side
    226,100x = 129,533,768,464
  5. Step 5: Solve for x
    x = 129,533,768,464/226,100
  6. Step 6: Final answer
    x = 572,904.77

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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.