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Finding the Third Proportional to 137,358 and 283,509

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Solution

The third proportional to 137,358 and 283,509 is: 585,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,358 : 283,509 = 283,509 : x
  2. Step 2: Convert to fraction form
    137,358/283,509 = 283,509/x
  3. Step 3: Cross multiply
    137,358x = 283,509 × 283,509
  4. Step 4: Simplify right side
    137,358x = 80,377,353,081
  5. Step 5: Solve for x
    x = 80,377,353,081/137,358
  6. Step 6: Final answer
    x = 585,166.89

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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.