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Finding the Third Proportional to 145,344 and 195,315

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Solution

The third proportional to 145,344 and 195,315 is: 262,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,344 : 195,315 = 195,315 : x
  2. Step 2: Convert to fraction form
    145,344/195,315 = 195,315/x
  3. Step 3: Cross multiply
    145,344x = 195,315 × 195,315
  4. Step 4: Simplify right side
    145,344x = 38,147,949,225
  5. Step 5: Solve for x
    x = 38,147,949,225/145,344
  6. Step 6: Final answer
    x = 262,466.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.