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Finding the Third Proportional to 355,148 and 543,293

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Solution

The third proportional to 355,148 and 543,293 is: 831,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,148 : 543,293 = 543,293 : x
  2. Step 2: Convert to fraction form
    355,148/543,293 = 543,293/x
  3. Step 3: Cross multiply
    355,148x = 543,293 × 543,293
  4. Step 4: Simplify right side
    355,148x = 295,167,283,849
  5. Step 5: Solve for x
    x = 295,167,283,849/355,148
  6. Step 6: Final answer
    x = 831,110.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.