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Finding the Third Proportional to 103,690 and 226,820

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Solution

The third proportional to 103,690 and 226,820 is: 496,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,690 : 226,820 = 226,820 : x
  2. Step 2: Convert to fraction form
    103,690/226,820 = 226,820/x
  3. Step 3: Cross multiply
    103,690x = 226,820 × 226,820
  4. Step 4: Simplify right side
    103,690x = 51,447,312,400
  5. Step 5: Solve for x
    x = 51,447,312,400/103,690
  6. Step 6: Final answer
    x = 496,164.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.