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Finding the Third Proportional to 189,849.45 and 401,036.06

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Solution

The third proportional to 189,849.45 and 401,036.06 is: 847,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,849.45 : 401,036.06 = 401,036.06 : x
  2. Step 2: Convert to fraction form
    189,849.45/401,036.06 = 401,036.06/x
  3. Step 3: Cross multiply
    189,849.45x = 401,036.06 × 401,036.06
  4. Step 4: Simplify right side
    189,849.45x = 160,829,923,425.50
  5. Step 5: Solve for x
    x = 160,829,923,425.50/189,849.45
  6. Step 6: Final answer
    x = 847,144.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.