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Finding the Third Proportional to 228,446 and 334,875

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Solution

The third proportional to 228,446 and 334,875 is: 490,887.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,446 : 334,875 = 334,875 : x
  2. Step 2: Convert to fraction form
    228,446/334,875 = 334,875/x
  3. Step 3: Cross multiply
    228,446x = 334,875 × 334,875
  4. Step 4: Simplify right side
    228,446x = 112,141,265,625
  5. Step 5: Solve for x
    x = 112,141,265,625/228,446
  6. Step 6: Final answer
    x = 490,887.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.