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Finding the Third Proportional to 173,119.88 and 265,933.31

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Solution

The third proportional to 173,119.88 and 265,933.31 is: 408,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,119.88 : 265,933.31 = 265,933.31 : x
  2. Step 2: Convert to fraction form
    173,119.88/265,933.31 = 265,933.31/x
  3. Step 3: Cross multiply
    173,119.88x = 265,933.31 × 265,933.31
  4. Step 4: Simplify right side
    173,119.88x = 70,720,526,697.22
  5. Step 5: Solve for x
    x = 70,720,526,697.22/173,119.88
  6. Step 6: Final answer
    x = 408,506.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.