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Finding the Third Proportional to 192,735 and 455,595

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Solution

The third proportional to 192,735 and 455,595 is: 1,076,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,735 : 455,595 = 455,595 : x
  2. Step 2: Convert to fraction form
    192,735/455,595 = 455,595/x
  3. Step 3: Cross multiply
    192,735x = 455,595 × 455,595
  4. Step 4: Simplify right side
    192,735x = 207,566,804,025
  5. Step 5: Solve for x
    x = 207,566,804,025/192,735
  6. Step 6: Final answer
    x = 1,076,954.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.