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Finding the Third Proportional to 226,056 and 307,017

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Solution

The third proportional to 226,056 and 307,017 is: 416,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,056 : 307,017 = 307,017 : x
  2. Step 2: Convert to fraction form
    226,056/307,017 = 307,017/x
  3. Step 3: Cross multiply
    226,056x = 307,017 × 307,017
  4. Step 4: Simplify right side
    226,056x = 94,259,438,289
  5. Step 5: Solve for x
    x = 94,259,438,289/226,056
  6. Step 6: Final answer
    x = 416,973.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.