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Finding the Third Proportional to 192,541.81 and 429,355.13

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Solution

The third proportional to 192,541.81 and 429,355.13 is: 957,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,541.81 : 429,355.13 = 429,355.13 : x
  2. Step 2: Convert to fraction form
    192,541.81/429,355.13 = 429,355.13/x
  3. Step 3: Cross multiply
    192,541.81x = 429,355.13 × 429,355.13
  4. Step 4: Simplify right side
    192,541.81x = 184,345,823,363.77
  5. Step 5: Solve for x
    x = 184,345,823,363.77/192,541.81
  6. Step 6: Final answer
    x = 957,432.68

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.