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Finding the Third Proportional to 193,584 and 290,376

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Solution

The third proportional to 193,584 and 290,376 is: 435,564

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,584 : 290,376 = 290,376 : x
  2. Step 2: Convert to fraction form
    193,584/290,376 = 290,376/x
  3. Step 3: Cross multiply
    193,584x = 290,376 × 290,376
  4. Step 4: Simplify right side
    193,584x = 84,318,221,376
  5. Step 5: Solve for x
    x = 84,318,221,376/193,584
  6. Step 6: Final answer
    x = 435,564

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.