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Finding the Third Proportional to 140,004 and 307,226

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Solution

The third proportional to 140,004 and 307,226 is: 674,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,004 : 307,226 = 307,226 : x
  2. Step 2: Convert to fraction form
    140,004/307,226 = 307,226/x
  3. Step 3: Cross multiply
    140,004x = 307,226 × 307,226
  4. Step 4: Simplify right side
    140,004x = 94,387,815,076
  5. Step 5: Solve for x
    x = 94,387,815,076/140,004
  6. Step 6: Final answer
    x = 674,179.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.