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Finding the Third Proportional to 128,392 and 309,286

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Solution

The third proportional to 128,392 and 309,286 is: 745,045.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,392 : 309,286 = 309,286 : x
  2. Step 2: Convert to fraction form
    128,392/309,286 = 309,286/x
  3. Step 3: Cross multiply
    128,392x = 309,286 × 309,286
  4. Step 4: Simplify right side
    128,392x = 95,657,829,796
  5. Step 5: Solve for x
    x = 95,657,829,796/128,392
  6. Step 6: Final answer
    x = 745,045.09

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.