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Finding the Third Proportional to 174,325.50 and 377,992.50

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Solution

The third proportional to 174,325.50 and 377,992.50 is: 819,606.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,325.50 : 377,992.50 = 377,992.50 : x
  2. Step 2: Convert to fraction form
    174,325.50/377,992.50 = 377,992.50/x
  3. Step 3: Cross multiply
    174,325.50x = 377,992.50 × 377,992.50
  4. Step 4: Simplify right side
    174,325.50x = 142,878,330,056.25
  5. Step 5: Solve for x
    x = 142,878,330,056.25/174,325.50
  6. Step 6: Final answer
    x = 819,606.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.