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Finding the Third Proportional to 128,394 and 309,291

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Solution

The third proportional to 128,394 and 309,291 is: 745,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,394 : 309,291 = 309,291 : x
  2. Step 2: Convert to fraction form
    128,394/309,291 = 309,291/x
  3. Step 3: Cross multiply
    128,394x = 309,291 × 309,291
  4. Step 4: Simplify right side
    128,394x = 95,660,922,681
  5. Step 5: Solve for x
    x = 95,660,922,681/128,394
  6. Step 6: Final answer
    x = 745,057.58

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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.