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Finding the Third Proportional to 169,359.75 and 365,157

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Solution

The third proportional to 169,359.75 and 365,157 is: 787,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,359.75 : 365,157 = 365,157 : x
  2. Step 2: Convert to fraction form
    169,359.75/365,157 = 365,157/x
  3. Step 3: Cross multiply
    169,359.75x = 365,157 × 365,157
  4. Step 4: Simplify right side
    169,359.75x = 133,339,634,649
  5. Step 5: Solve for x
    x = 133,339,634,649/169,359.75
  6. Step 6: Final answer
    x = 787,315.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.