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Finding the Third Proportional to 106,534 and 226,206

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Solution

The third proportional to 106,534 and 226,206 is: 480,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,534 : 226,206 = 226,206 : x
  2. Step 2: Convert to fraction form
    106,534/226,206 = 226,206/x
  3. Step 3: Cross multiply
    106,534x = 226,206 × 226,206
  4. Step 4: Simplify right side
    106,534x = 51,169,154,436
  5. Step 5: Solve for x
    x = 51,169,154,436/106,534
  6. Step 6: Final answer
    x = 480,308.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.