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Finding the Third Proportional to 226,139.63 and 307,117.69

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Solution

The third proportional to 226,139.63 and 307,117.69 is: 417,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,139.63 : 307,117.69 = 307,117.69 : x
  2. Step 2: Convert to fraction form
    226,139.63/307,117.69 = 307,117.69/x
  3. Step 3: Cross multiply
    226,139.63x = 307,117.69 × 307,117.69
  4. Step 4: Simplify right side
    226,139.63x = 94,321,273,975.35
  5. Step 5: Solve for x
    x = 94,321,273,975.35/226,139.63
  6. Step 6: Final answer
    x = 417,093.09

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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.