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Finding the Third Proportional to 173,119.59 and 265,932.80

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Solution

The third proportional to 173,119.59 and 265,932.80 is: 408,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,119.59 : 265,932.80 = 265,932.80 : x
  2. Step 2: Convert to fraction form
    173,119.59/265,932.80 = 265,932.80/x
  3. Step 3: Cross multiply
    173,119.59x = 265,932.80 × 265,932.80
  4. Step 4: Simplify right side
    173,119.59x = 70,720,252,453.76
  5. Step 5: Solve for x
    x = 70,720,252,453.76/173,119.59
  6. Step 6: Final answer
    x = 408,505.19

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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.