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Finding the Third Proportional to 226,004 and 306,943

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Solution

The third proportional to 226,004 and 306,943 is: 416,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,004 : 306,943 = 306,943 : x
  2. Step 2: Convert to fraction form
    226,004/306,943 = 306,943/x
  3. Step 3: Cross multiply
    226,004x = 306,943 × 306,943
  4. Step 4: Simplify right side
    226,004x = 94,214,005,249
  5. Step 5: Solve for x
    x = 94,214,005,249/226,004
  6. Step 6: Final answer
    x = 416,868.75

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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.