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Finding the Third Proportional to 292,146.75 and 440,142.75

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Solution

The third proportional to 292,146.75 and 440,142.75 is: 663,110.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,146.75 : 440,142.75 = 440,142.75 : x
  2. Step 2: Convert to fraction form
    292,146.75/440,142.75 = 440,142.75/x
  3. Step 3: Cross multiply
    292,146.75x = 440,142.75 × 440,142.75
  4. Step 4: Simplify right side
    292,146.75x = 193,725,640,377.56
  5. Step 5: Solve for x
    x = 193,725,640,377.56/292,146.75
  6. Step 6: Final answer
    x = 663,110.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.