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Finding the Third Proportional to 137,515 and 283,594

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Solution

The third proportional to 137,515 and 283,594 is: 584,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,515 : 283,594 = 283,594 : x
  2. Step 2: Convert to fraction form
    137,515/283,594 = 283,594/x
  3. Step 3: Cross multiply
    137,515x = 283,594 × 283,594
  4. Step 4: Simplify right side
    137,515x = 80,425,556,836
  5. Step 5: Solve for x
    x = 80,425,556,836/137,515
  6. Step 6: Final answer
    x = 584,849.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.