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Finding the Third Proportional to 190,937.25 and 291,569.63

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Solution

The third proportional to 190,937.25 and 291,569.63 is: 445,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,937.25 : 291,569.63 = 291,569.63 : x
  2. Step 2: Convert to fraction form
    190,937.25/291,569.63 = 291,569.63/x
  3. Step 3: Cross multiply
    190,937.25x = 291,569.63 × 291,569.63
  4. Step 4: Simplify right side
    190,937.25x = 85,012,846,222.64
  5. Step 5: Solve for x
    x = 85,012,846,222.64/190,937.25
  6. Step 6: Final answer
    x = 445,239.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.