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Finding the Third Proportional to 226,098 and 307,071

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Solution

The third proportional to 226,098 and 307,071 is: 417,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,098 : 307,071 = 307,071 : x
  2. Step 2: Convert to fraction form
    226,098/307,071 = 307,071/x
  3. Step 3: Cross multiply
    226,098x = 307,071 × 307,071
  4. Step 4: Simplify right side
    226,098x = 94,292,599,041
  5. Step 5: Solve for x
    x = 94,292,599,041/226,098
  6. Step 6: Final answer
    x = 417,043.05

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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.