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Finding the Third Proportional to 77,303.11 and 167,825.04

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Solution

The third proportional to 77,303.11 and 167,825.04 is: 364,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,303.11 : 167,825.04 = 167,825.04 : x
  2. Step 2: Convert to fraction form
    77,303.11/167,825.04 = 167,825.04/x
  3. Step 3: Cross multiply
    77,303.11x = 167,825.04 × 167,825.04
  4. Step 4: Simplify right side
    77,303.11x = 28,165,243,736.33
  5. Step 5: Solve for x
    x = 28,165,243,736.33/77,303.11
  6. Step 6: Final answer
    x = 364,348.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.