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Finding the Third Proportional to 174,954.94 and 237,399.19

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Solution

The third proportional to 174,954.94 and 237,399.19 is: 322,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,954.94 : 237,399.19 = 237,399.19 : x
  2. Step 2: Convert to fraction form
    174,954.94/237,399.19 = 237,399.19/x
  3. Step 3: Cross multiply
    174,954.94x = 237,399.19 × 237,399.19
  4. Step 4: Simplify right side
    174,954.94x = 56,358,374,225.66
  5. Step 5: Solve for x
    x = 56,358,374,225.66/174,954.94
  6. Step 6: Final answer
    x = 322,130.80

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Why These Related Problems?

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