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Finding the Third Proportional to 173,725.50 and 377,340

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Solution

The third proportional to 173,725.50 and 377,340 is: 819,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,725.50 : 377,340 = 377,340 : x
  2. Step 2: Convert to fraction form
    173,725.50/377,340 = 377,340/x
  3. Step 3: Cross multiply
    173,725.50x = 377,340 × 377,340
  4. Step 4: Simplify right side
    173,725.50x = 142,385,475,600
  5. Step 5: Solve for x
    x = 142,385,475,600/173,725.50
  6. Step 6: Final answer
    x = 819,600.32

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