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Finding the Third Proportional to 145,408 and 195,396

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Solution

The third proportional to 145,408 and 195,396 is: 262,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,408 : 195,396 = 195,396 : x
  2. Step 2: Convert to fraction form
    145,408/195,396 = 195,396/x
  3. Step 3: Cross multiply
    145,408x = 195,396 × 195,396
  4. Step 4: Simplify right side
    145,408x = 38,179,596,816
  5. Step 5: Solve for x
    x = 38,179,596,816/145,408
  6. Step 6: Final answer
    x = 262,568.75

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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.