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Finding the Third Proportional to 174,423.94 and 236,718.56

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Solution

The third proportional to 174,423.94 and 236,718.56 is: 321,261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,423.94 : 236,718.56 = 236,718.56 : x
  2. Step 2: Convert to fraction form
    174,423.94/236,718.56 = 236,718.56/x
  3. Step 3: Cross multiply
    174,423.94x = 236,718.56 × 236,718.56
  4. Step 4: Simplify right side
    174,423.94x = 56,035,677,832.07
  5. Step 5: Solve for x
    x = 56,035,677,832.07/174,423.94
  6. Step 6: Final answer
    x = 321,261.40

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.