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Finding the Third Proportional to 192,335.63 and 420,073.31

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Solution

The third proportional to 192,335.63 and 420,073.31 is: 917,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,335.63 : 420,073.31 = 420,073.31 : x
  2. Step 2: Convert to fraction form
    192,335.63/420,073.31 = 420,073.31/x
  3. Step 3: Cross multiply
    192,335.63x = 420,073.31 × 420,073.31
  4. Step 4: Simplify right side
    192,335.63x = 176,461,587,874.72
  5. Step 5: Solve for x
    x = 176,461,587,874.72/192,335.63
  6. Step 6: Final answer
    x = 917,466.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.