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Finding the Third Proportional to 192,192 and 420,584

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Solution

The third proportional to 192,192 and 420,584 is: 920,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,192 : 420,584 = 420,584 : x
  2. Step 2: Convert to fraction form
    192,192/420,584 = 420,584/x
  3. Step 3: Cross multiply
    192,192x = 420,584 × 420,584
  4. Step 4: Simplify right side
    192,192x = 176,890,901,056
  5. Step 5: Solve for x
    x = 176,890,901,056/192,192
  6. Step 6: Final answer
    x = 920,386.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.