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Finding the Third Proportional to 140,063 and 307,339

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Solution

The third proportional to 140,063 and 307,339 is: 674,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,063 : 307,339 = 307,339 : x
  2. Step 2: Convert to fraction form
    140,063/307,339 = 307,339/x
  3. Step 3: Cross multiply
    140,063x = 307,339 × 307,339
  4. Step 4: Simplify right side
    140,063x = 94,457,260,921
  5. Step 5: Solve for x
    x = 94,457,260,921/140,063
  6. Step 6: Final answer
    x = 674,391.24

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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.