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Finding the Third Proportional to 190,122.75 and 292,340.25

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Solution

The third proportional to 190,122.75 and 292,340.25 is: 449,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,122.75 : 292,340.25 = 292,340.25 : x
  2. Step 2: Convert to fraction form
    190,122.75/292,340.25 = 292,340.25/x
  3. Step 3: Cross multiply
    190,122.75x = 292,340.25 × 292,340.25
  4. Step 4: Simplify right side
    190,122.75x = 85,462,821,770.06
  5. Step 5: Solve for x
    x = 85,462,821,770.06/190,122.75
  6. Step 6: Final answer
    x = 449,513.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.