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Finding the Third Proportional to 195,072 and 292,512

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Solution

The third proportional to 195,072 and 292,512 is: 438,624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,072 : 292,512 = 292,512 : x
  2. Step 2: Convert to fraction form
    195,072/292,512 = 292,512/x
  3. Step 3: Cross multiply
    195,072x = 292,512 × 292,512
  4. Step 4: Simplify right side
    195,072x = 85,563,270,144
  5. Step 5: Solve for x
    x = 85,563,270,144/195,072
  6. Step 6: Final answer
    x = 438,624.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.