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Finding the Third Proportional to 192,564 and 402,624

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Solution

The third proportional to 192,564 and 402,624 is: 841,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,564 : 402,624 = 402,624 : x
  2. Step 2: Convert to fraction form
    192,564/402,624 = 402,624/x
  3. Step 3: Cross multiply
    192,564x = 402,624 × 402,624
  4. Step 4: Simplify right side
    192,564x = 162,106,085,376
  5. Step 5: Solve for x
    x = 162,106,085,376/192,564
  6. Step 6: Final answer
    x = 841,829.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.