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Finding the Third Proportional to 103,312 and 226,279

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Solution

The third proportional to 103,312 and 226,279 is: 495,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,312 : 226,279 = 226,279 : x
  2. Step 2: Convert to fraction form
    103,312/226,279 = 226,279/x
  3. Step 3: Cross multiply
    103,312x = 226,279 × 226,279
  4. Step 4: Simplify right side
    103,312x = 51,202,185,841
  5. Step 5: Solve for x
    x = 51,202,185,841/103,312
  6. Step 6: Final answer
    x = 495,607.34

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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.