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Finding the Third Proportional to 140,029 and 307,274

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Solution

The third proportional to 140,029 and 307,274 is: 674,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,029 : 307,274 = 307,274 : x
  2. Step 2: Convert to fraction form
    140,029/307,274 = 307,274/x
  3. Step 3: Cross multiply
    140,029x = 307,274 × 307,274
  4. Step 4: Simplify right side
    140,029x = 94,417,311,076
  5. Step 5: Solve for x
    x = 94,417,311,076/140,029
  6. Step 6: Final answer
    x = 674,269.69

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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.