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Finding the Third Proportional to 173,858.63 and 380,937.38

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Solution

The third proportional to 173,858.63 and 380,937.38 is: 834,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,858.63 : 380,937.38 = 380,937.38 : x
  2. Step 2: Convert to fraction form
    173,858.63/380,937.38 = 380,937.38/x
  3. Step 3: Cross multiply
    173,858.63x = 380,937.38 × 380,937.38
  4. Step 4: Simplify right side
    173,858.63x = 145,113,283,671.89
  5. Step 5: Solve for x
    x = 145,113,283,671.89/173,858.63
  6. Step 6: Final answer
    x = 834,662.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.