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Finding the Third Proportional to 103,657 and 226,052

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Solution

The third proportional to 103,657 and 226,052 is: 492,967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,657 : 226,052 = 226,052 : x
  2. Step 2: Convert to fraction form
    103,657/226,052 = 226,052/x
  3. Step 3: Cross multiply
    103,657x = 226,052 × 226,052
  4. Step 4: Simplify right side
    103,657x = 51,099,506,704
  5. Step 5: Solve for x
    x = 51,099,506,704/103,657
  6. Step 6: Final answer
    x = 492,967.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.