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Finding the Third Proportional to 167,473.50 and 361,185

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Solution

The third proportional to 167,473.50 and 361,185 is: 778,956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,473.50 : 361,185 = 361,185 : x
  2. Step 2: Convert to fraction form
    167,473.50/361,185 = 361,185/x
  3. Step 3: Cross multiply
    167,473.50x = 361,185 × 361,185
  4. Step 4: Simplify right side
    167,473.50x = 130,454,604,225
  5. Step 5: Solve for x
    x = 130,454,604,225/167,473.50
  6. Step 6: Final answer
    x = 778,956.70

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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.